{"id":625666,"date":"2023-09-07T12:07:40","date_gmt":"2023-09-07T12:07:40","guid":{"rendered":"https:\/\/www.indcareer.com\/schools\/?p=625666"},"modified":"2023-09-07T12:07:46","modified_gmt":"2023-09-07T12:07:46","slug":"kc-sinha-exercise-3-5-mathematics-solution-class-10-chapter-3-do-char-wale-raikhik-samikaran","status":"publish","type":"post","link":"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-3-5-mathematics-solution-class-10-chapter-3-do-char-wale-raikhik-samikaran\/","title":{"rendered":"KC Sinha: Exercise 3.5 &#8211; Mathematics Solution Class 10 Chapter 3 \u0926\u094b \u091a\u0930 \u0935\u093e\u0932\u0947 \u0930\u0948\u0916\u093f\u0915 \u0938\u092e\u0940\u0915\u0930\u0923"},"content":{"rendered":"\n\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-1\">Question 1<\/h4>\n\n\n\n<p>\u0926\u094b \u0938\u0902\u0916\u094d\u092f\u093e\u0913 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 5:6 \u0939\u0948\u0964 \u092f\u0926\u093f \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 8 \u0918\u091f\u093e \u0932\u093f\u092f\u093e \u091c\u093e\u092f \u0924\u094b \u0909\u0928\u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 4:5 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0964<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u092a\u0939\u0932\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=x<\/p>\n\n\n\n<p>\u0926\u0942\u0938\u0930\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=y<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>$\\frac{x}{y}=\\frac{5}{6}$<\/p>\n\n\n\n<p>6x=5y<\/p>\n\n\n\n<p>6x-5y=0..(i)<\/p>\n\n\n\n<p>$\\frac{x-8}{y-8}=\\frac{4}{5}$<\/p>\n\n\n\n<p>5x-40=4y-32<\/p>\n\n\n\n<p>5x-4y=-32+40<\/p>\n\n\n\n<p>5x-4y=8..(ii)\u00d75<\/p>\n\n\n\n<p>\u0938\u092e\u0940\u0915\u0930\u0923 (i) \u0924\u0925\u093e (ii) \u0938\u0947,<\/p>\n\n\n\n<p>$\\begin{aligned}24x-20y&amp;=0\\\\25x-20y&amp;=40\\\\-\\phantom{25x}+\\phantom{20y}&amp;\\phantom{=}-\\phantom{40} \\\\ \\hline -x&amp;=-40\\end{aligned}$<\/p>\n\n\n\n<p>x \u0915\u093e \u092e\u093e\u0928 \u0938\u092e\u0940\u0915\u0930\u0923 (i) \u092e\u0947 \u0930\u0916\u0928\u0947 \u092a\u0930, 6x-5y=0<\/p>\n\n\n\n<p>6x-5y=0<\/p>\n\n\n\n<p>6\u00d740-5y=0<\/p>\n\n\n\n<p>240-5y=0<\/p>\n\n\n\n<p>-5y=-240<\/p>\n\n\n\n<p>$y=\\frac{240}{5}$<\/p>\n\n\n\n<p>=48<\/p>\n\n\n\n<p>\u0926\u0942\u0938\u0930\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=48<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-2\">Question 2<\/h4>\n\n\n\n<p>\u0926\u094b \u0938\u0902\u0916\u094d\u092f\u093e\u0913 \u0915\u093e \u092f\u094b\u0917 16 \u0939\u0948\u0964 \u092f\u0926\u093f \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u0902\u0916\u094d\u092f\u093e \u092e\u0947 4 \u091c\u094b\u0921\u093c \u0926\u093f\u092f\u093e \u091c\u093e\u092f \u0924\u094b \u0905\u0928\u0941\u092a\u093e\u0924 2:1 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0964<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u092a\u0939\u0932\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=x<\/p>\n\n\n\n<p>\u0926\u0942\u0938\u0930\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=y<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>x+y=16..(i)<\/p>\n\n\n\n<p>$\\frac{x+4}{y+4}=\\frac{2}{1}$<\/p>\n\n\n\n<p>x+4=2y+8<\/p>\n\n\n\n<p>x-2y=4..(ii)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-3\">Question 3<\/h4>\n\n\n\n<p>\u0926\u094b \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u0913 \u0915\u093e \u0905\u0928\u094d\u0924\u0930 3 \u0939\u0948 \u092f\u0926\u093f \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u0902\u0916\u094d\u092f\u093e \u092e\u0947 \u0938\u0947 3 \u0918\u091f\u093e \u0932\u093f\u092f\u093e \u091c\u093e\u092f \u0924\u094b \u0909\u0928\u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 2:1 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948 \u0964 \u0938\u0902\u0916\u094d\u092f\u093e\u092f\u0947 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947 \u0964<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u092a\u0939\u0932\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=x<\/p>\n\n\n\n<p>\u0926\u0942\u0938\u0930\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=y, x&gt;y<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>x-y=3..(i)<\/p>\n\n\n\n<p>$\\frac{x-3}{y-3}=\\frac{2}{1}$<\/p>\n\n\n\n<p>x-3=2y-6<\/p>\n\n\n\n<p>x-2y=-6+3<\/p>\n\n\n\n<p>x-2y=-3..(i)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-6\">Question 6<\/h4>\n\n\n\n<p>A \u0914\u0930 B \u0915\u0940 \u092e\u093e\u0938\u093f\u0915 \u0906\u092f\u094b \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 5:4 \u0939\u0948 \u0914\u0930 \u0909\u0928\u0915\u0947 \u092e\u093e\u0938\u093f\u0915 \u0916\u0930\u094d\u091a\u094b \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 7:5 \u0939\u0948\u0964 \u092f\u0926\u093f \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0915\u0940 \u092c\u091a\u0924 3000 \u092a\u094d\u0930\u0924\u093f \u092e\u0939\u0940\u0928\u093e \u0939\u0948 \u0924\u094b \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0915\u0940 \u092e\u093e\u0938\u093f\u0915 \u0906\u092f \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0964<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e A \u0924\u0925\u093e B \u0915\u0940 \u092e\u093e\u0938\u093f\u0915 \u0906\u092f \u0915\u094d\u0930\u092e\u0936\u0903 5x \u0924\u0925\u093e 4x \u0939\u0948\u0964<\/p>\n\n\n\n<p>A \u0924\u0925\u093e B \u0915\u0940 \u092e\u093e\u0938\u093f\u0915 \u0916\u0930\u094d\u091a\u094b \u0915\u094d\u0930\u092e\u0936\u0903 7y \u0924\u0925\u093e 5y \u0939\u0948\u0964<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>5x-7y=3000..(i)\u00d75<\/p>\n\n\n\n<p>4x-5y=3000..(ii)\u00d77<\/p>\n\n\n\n<p>$\\begin{aligned}25x-35y&amp;=15000\\\\28x-35y&amp;=21000\\\\-\\phantom{28x}+\\phantom{35y}&amp;\\phantom{=}-\\phantom{21000}\\\\ \\hline -3x&amp;=-6000 \\end{aligned}$<\/p>\n\n\n\n<p>x=2000<\/p>\n\n\n\n<p>A \u0915\u0940 \u092e\u093e\u0938\u093f\u0915 \u0906\u092f=5x<\/p>\n\n\n\n<p>=5\u00d72000=10000<\/p>\n\n\n\n<p>B \u0915\u0940 \u092e\u093e\u0938\u093f\u0915 \u0906\u092f=4x<\/p>\n\n\n\n<p>=4\u00d72000=8000<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-7\">Question 7<\/h4>\n\n\n\n<p>\u090f\u0915 \u0938\u094d\u0915\u0942\u091f\u0930 \u0915\u0947 \u092d\u093e\u0921\u093c\u0947 \u092e\u0947 \u0928\u093f\u092f\u0924 \u092d\u093e\u0921\u093c\u093e \u0914\u0930 \u0915\u093f\u092e\u0940 \u092e\u0947 \u0924\u092f \u0915\u0940 \u0917\u0908 \u0926\u0942\u0930\u0940 \u0915\u094b \u092d\u093e\u0921\u093c\u0947 \u091c\u0941\u0921\u093c\u0947 \u0939\u0948\u0964 \u092f\u0926\u093f \u0915\u094b\u0908 \u0935\u094d\u092f\u0915\u094d\u0924\u093f 12 \u0915\u093f\u092e\u0940 \u091a\u0932\u0915\u0930 45 \u0914\u0930 20 \u0915\u093f\u092e\u0940 \u091a\u0932\u0915\u0930 73 \u092d\u093e\u0921\u093c\u0947 \u0926\u0947\u0924\u093e \u0939\u0948 \u0924\u094b \u0907\u0938 \u0915\u0925\u0928 \u0915\u094b \u092f\u0941\u0917\u092a\u0924 \u0938\u092e\u0940\u0915\u0930\u0923 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947 \u0935\u094d\u092f\u0915\u094d\u0924 \u0915\u0930\u0947 \u0914\u0930 \u0907\u0938\u0938\u0947 \u0938\u094d\u0915\u0942\u091f\u0930 \u0915\u093e \u0928\u093f\u092f\u0924 \u092d\u093e\u0921\u093c\u093e \u090f\u0935\u0902 \u092a\u094d\u0930\u0924\u093f \u0915\u093f\u092e\u0940 \u092d\u093e\u0921\u093c\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947 \u0964<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u0938\u094d\u0915\u0942\u091f\u0930 \u0915\u093e \u0928\u093f\u092f\u0924 \u092d\u093e\u0921\u093c\u093e=x<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0924\u093f \u0915\u093f\u092e\u0940 \u0915\u093e \u0906\u0924\u093f\u0930\u093f\u0915\u094d\u0924 \u092d\u093e\u0921\u093c\u093e=y<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>x+12y=45..(i)<\/p>\n\n\n\n<p>x+20y=73..(ii)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-9\">Question 9<\/h4>\n\n\n\n<p>(i) \u0915\u093f\u0938\u0940 \u0915\u093e\u0902\u0932\u0947\u091c \u0915\u0947 \u091b\u093e\u0924\u094d\u0930\u093e\u0935\u093e\u0938 \u092e\u0947 \u0916\u0930\u094d\u091a \u0915\u093e \u090f\u0915 \u092d\u093e\u0917 \u0928\u093f\u092f\u0924 \u0939\u0948 \u0914\u0930 \u0936\u0947\u0937 \u0907\u0938 \u092a\u0930 \u0928\u093f\u0930\u094d\u092d\u0930 \u0939\u0948 \u0915\u093f \u091b\u093e\u0924\u094d\u0930 \u0928\u0947 \u092e\u0947\u0938 \u092e\u0947 \u092e\u0939\u0940\u0928\u0947 \u092e\u0947 \u0915\u093f\u0924\u0928\u0947 \u0926\u093f\u0928\u094b \u0915\u093e \u092d\u094b\u091c\u0928 \u0932\u093f\u092f\u093e \u0939\u0948\u0964 \u090f\u0915 \u091b\u093e\u0924\u094d\u0930 &#8216;A&#8217; 25 \u0926\u093f\u0928 \u092d\u094b\u091c\u0928 \u0932\u0947\u0928\u0947 \u092a\u0930 1750 \u091b\u093e\u0924\u094d\u0930\u093e\u0935\u093e\u0938 \u0916\u0930\u094d\u091a \u0926\u0947\u0924\u093e \u0939\u0948 \u091c\u092c\u0915\u093f \u090f\u0915 \u0926\u0942\u0938\u0930\u093e \u091b\u093e\u0924\u094d\u0930 &#8216;B&#8217; 28 \u0926\u093f\u0928 \u092d\u094b\u091c\u0928 \u0915\u0947 \u0932\u093f\u092f\u0947 1900 \u0916\u0930\u094d\u091a \u0926\u0947\u0924\u093e \u0939\u0948\u0964 \u0924\u092c \u091b\u093e\u0924\u094d\u0930\u093e\u0935\u093e\u0938 \u0915\u093e \u0928\u093f\u092f\u0924 \u0916\u0930\u094d\u091a \u090f\u0935\u0902 \u092a\u094d\u0930\u093e\u0924\u093f\u0926\u093f\u0928 \u092d\u094b\u091c\u0928 \u0915\u093e \u092e\u0942\u0932\u094d\u092f \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902\u0964 }<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u091b\u093e\u0924\u094d\u0930\u093e\u0935\u093e\u0938 \u0915\u093e \u0928\u093f\u092f\u0924 \u0916\u0930\u094d\u091a=x<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0924\u093f\u0926\u093f\u0928 \u092d\u094b\u091c\u0928 \u0915\u093e \u092e\u0942\u0932\u094d\u092f=y<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>x+28y=1750..(i)<\/p>\n\n\n\n<p>x+28y=1500..(ii)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-10\">Question 10<\/h4>\n\n\n\n<p>\u0915\u093f\u0938\u0940 \u092a\u0930\u093f\u0935\u093e\u0930 \u0915\u093e \u092e\u093e\u0938\u093f\u0915 \u0916\u0930\u094d\u091a , \u0918\u0930 \u0915\u093e \u0928\u093f\u092f\u0924 \u092e\u093e\u0938\u093f\u0915 \u0915\u093f\u0930\u093e\u092f\u093e \u0914\u0930 \u0918\u0930 \u092e\u0947 \u092e\u0947\u0938 \u092e\u0947 \u0916\u093e\u0928\u0947\u0935\u093e\u0932\u0947 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u092a\u0930 \u0928\u093f\u0930\u094d\u092d\u0930 \u0939\u0948\u0964 \u0926\u094b \u0906\u0926\u092e\u093f\u092f\u094b \u0932\u093f\u092f\u0947 \u0915\u0941\u0932 \u092e\u093e\u0938\u093f\u0915 \u0916\u0930\u094d\u091a 3900 \u0924\u0925\u093e 5 \u0906\u0926\u092e\u093f\u092f\u094b \u0915\u0947 \u0932\u093f\u092f\u0947 7500 \u0939\u0948 \u0964 \u0918\u0930 \u0915\u093e \u0915\u093f\u0930\u093e\u092f\u093e \u0914\u0930 \u092a\u094d\u0930\u0924\u093f \u092e\u0939\u0940\u0928\u093e \u092d\u094b\u091c\u0928 \u0915\u093e \u0916\u0930\u094d\u091a \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947 \u0964<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u0918\u0930 \u0915\u093e \u0915\u093f\u0930\u093e\u092f\u093e=x (\u092e\u093e\u0938\u093f\u0915)<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0924\u093f \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u092a\u094d\u0930\u0924\u093f \u092e\u0939\u0940\u0928\u093e \u092d\u094b\u091c\u0928 \u0915\u093e \u0916\u0930\u094d\u091a=y<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947&nbsp;<\/p>\n\n\n\n<p>x+2y=3900..(i)<\/p>\n\n\n\n<p>x+5y=7500..(ii)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-11\">Question 11<\/h4>\n\n\n\n<p>\u0915\u093f\u0938\u0940 \u0936\u0939\u0930 \u092e\u0947 \u0915\u093e\u0930 \u0915\u0947 \u0915\u093f\u0930\u093e\u092f\u0947 \u0915\u093e \u092d\u093e\u0921\u093c\u093e ,\u090f\u0915 \u0928\u093f\u092f\u0924 \u092d\u093e\u0921\u093c\u093e \u090f\u0935\u0902 \u0924\u092f \u0915\u0940 \u0917\u0908 \u0926\u0942\u0930\u0940 \u0915\u0947 \u092d\u093e\u0921\u093c\u0947 \u092a\u0930 \u0928\u093f\u0930\u094d\u092d\u0930 \u0939\u0948\u0964 13km \u092f\u093e\u0924\u094d\u0930\u093e \u0915\u0947 \u0932\u093f\u090f 96 \u0924\u0925\u093e 181 \u0915\u0947 \u0932\u093f\u090f 131 \u092d\u093e\u0921\u093c\u0947 \u0926\u093f\u090f \u0917\u092f\u0947\u0964 \u0915\u093f\u0938\u0940 \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0915\u094b 25 km \u092f\u093e\u0924\u094d\u0930\u093e \u0915\u0947 \u0932\u093f\u090f \u0915\u093f\u0924\u0928\u093e \u092d\u093e\u0921\u093c\u093e \u0926\u0947\u0928\u093e \u0939\u093e\u0917\u093e?<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u0915\u093e\u0930 \u0915\u093e \u0928\u093f\u092f\u0924 \u0915\u093f\u0930\u093e\u092f\u093e=x<\/p>\n\n\n\n<p>\u0924\u0925\u093e \u092a\u094d\u0930\u0924\u093f km \u0915\u093e \u0915\u093f\u0930\u093e\u092f\u093e=y<\/p>\n\n\n\n<p>25km \u092f\u093e\u0924\u094d\u0930\u093e \u0915\u093e \u0915\u093f\u0930\u093e\u092f\u093e=x+25y<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>$\\begin{aligned}x+13y&amp;=96..(i)\\\\x+18y&amp;=131\\\\-\\phantom{x}-\\phantom{18y}&amp;\\phantom{=}-\\phantom{131}\\\\-5y=-35\\end{aligned}$<\/p>\n\n\n\n<p>y \u0915\u093e \u092e\u093e\u0928 \u0938\u092e\u0940\u0915\u0930\u0923 (i) \u092e\u0947 \u0930\u0916\u0928\u0947 \u092a\u0930,<\/p>\n\n\n\n<p>x+13y=96<\/p>\n\n\n\n<p>x+13(7)=96<\/p>\n\n\n\n<p>x91=96<\/p>\n\n\n\n<p>x=5<\/p>\n\n\n\n<p>\u223425 km \u092f\u093e\u0924\u094d\u0930\u093e \u0915\u093e \u0915\u093f\u0930\u093e\u092f\u093e<\/p>\n\n\n\n<p>=x+25y<\/p>\n\n\n\n<p>=5+25(7)<\/p>\n\n\n\n<p>=5+175<\/p>\n\n\n\n<p>=180<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-12\">Question 12<\/h4>\n\n\n\n<p>\u0926\u094b \u0905\u0902\u0915\u094b \u0915\u0940 \u090f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e \u0914\u0930 \u0909\u0938\u0915\u0947 \u0905\u0902\u0915\u094b \u0915\u0947 \u092a\u0932\u091f\u0928\u0947 \u0938\u0947 \u092c\u0928\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093e \u092f\u094b\u0917 132 \u0939\u0948\u0964 \u092f\u0926\u093f \u0938\u0902\u0916\u094d\u092f\u093e \u092e\u0947 12 \u091c\u094b\u0921\u093c \u0926\u093f\u092f\u093e \u091c\u093e\u092f \u0924\u094b \u0928\u0908 \u0938\u0902\u0916\u094d\u092f\u093e \u0905\u0902\u0915\u094b \u0915\u0940 \u092f\u094b\u0917 \u0915\u0947 \u092a\u093e\u0901\u091a \u0917\u0941\u0928\u0940 \u0939\u094b \u091c\u093e\u0924\u0940 \u0939\u0948\u0964\u0938\u0902\u0916\u094d\u092f\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947?<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u0907\u0915\u093e\u0908 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=x<\/p>\n\n\n\n<p>\u0926\u0939\u093e\u0908 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=y<\/p>\n\n\n\n<p>\u0926\u094b \u0905\u0902\u0915\u094b \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=10y+x<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>10y+x+10x+y=132<\/p>\n\n\n\n<p>11x+11y=132<\/p>\n\n\n\n<p>11(x+y)=132<\/p>\n\n\n\n<p>x+y=12..(i)<\/p>\n\n\n\n<p>\u0905\u092c, 10y+x+12=5(x+y)<\/p>\n\n\n\n<p>10y+x+12=5x+5y<\/p>\n\n\n\n<p>10y+x-5x-5y=-12<\/p>\n\n\n\n<p>-4x+5y=-12..(ii)\u00d71<\/p>\n\n\n\n<p>\u0938\u092e\u0940\u0915\u0930\u0923 (i) \u0924\u0925\u093e (ii) \u0938\u0947<\/p>\n\n\n\n<p>$\\begin{aligned}4x+4y&amp;=48\\\\-4x+5y&amp;=-12\\\\ \\hline 9y&amp;=36\\end{aligned}$<\/p>\n\n\n\n<p>y=4<\/p>\n\n\n\n<p>y \u0915\u093e \u092e\u093e\u0928 \u0938\u092e\u0940\u0915\u0930\u0923 (i) \u092e\u0947 \u0930\u0916\u0928\u0947 \u092a\u0930,<\/p>\n\n\n\n<p>x+y=12<\/p>\n\n\n\n<p>x+4=12<\/p>\n\n\n\n<p>x=8<\/p>\n\n\n\n<p>\u2234 \u0926\u094b \u0905\u0902\u0915\u094b \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=10y+x<\/p>\n\n\n\n<p>=10(4)+8<\/p>\n\n\n\n<p>=40+8<\/p>\n\n\n\n<p>=48<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-13\">Question 13<\/h4>\n\n\n\n<p>\u0926\u094b \u0905\u0902\u0915\u094b \u0915\u0940 \u090f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e, \u0905\u092a\u0928\u0947 \u0905\u0902\u0915\u094b \u0915\u0947 \u092f\u094b\u0917 \u0915\u0940 \u091a\u093e\u0930 \u0917\u0941\u0928\u0940 \u0939\u0948\u0964 \u092f\u0926\u093f \u0938\u0902\u0916\u094d\u092f\u093e \u092e\u0947 18 \u091c\u094b\u0921\u093c \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u094b \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0905\u0902\u0915 \u092a\u0932\u091f \u091c\u093e\u0924\u0947 \u0939\u0948\u0964 \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0964<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u0907\u0915\u093e\u0908 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=x<\/p>\n\n\n\n<p>\u0926\u0939\u093e\u0908 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=y<\/p>\n\n\n\n<p>\u0926\u094b \u0905\u0902\u0915\u094b \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=10y+x<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>10y+x+=4(x+y)<\/p>\n\n\n\n<p>10y+x=4x+4y<\/p>\n\n\n\n<p>10y+x-4x-4y=0<\/p>\n\n\n\n<p>-3x+6y=0<\/p>\n\n\n\n<p>-3(x-2y)=0<\/p>\n\n\n\n<p>x-2y=0<\/p>\n\n\n\n<p>\u0905\u092c,<\/p>\n\n\n\n<p>10y+x+18=10x+y<\/p>\n\n\n\n<p>10y+x-10x-y=-18<\/p>\n\n\n\n<p>-9x+9y=-18<\/p>\n\n\n\n<p>-9(x-y)=-18<\/p>\n\n\n\n<p>x-y=2..(ii)<\/p>\n\n\n\n<p>\u0938\u092e\u0940\u0915\u0930\u0923 (i) \u0924\u0925\u093e (ii) \u0938\u0947<\/p>\n\n\n\n<p>$\\begin{aligned}x-2y&amp;=0\\\\x-y&amp;=2\\\\-\\phantom{x}+\\phantom{y}&amp;\\phantom{=}-\\phantom{2}\\\\ \\hline -y&amp;=-2\\end{aligned}$<\/p>\n\n\n\n<p>y \u0915\u093e \u092e\u093e\u0928 \u0938\u092e\u0940\u0915\u0930\u0923 (ii) \u092e\u0947 \u0930\u0916\u0928\u0947 \u092a\u0930,<\/p>\n\n\n\n<p>x-y=2<\/p>\n\n\n\n<p>x-2=2<\/p>\n\n\n\n<p>x=4<\/p>\n\n\n\n<p>\u2234 \u0926\u094b \u0905\u0902\u0915\u094b \u0915\u093e \u0938\u0902\u0916\u094d\u092f\u093e=10y+x<\/p>\n\n\n\n<p>=10(2)+4<\/p>\n\n\n\n<p>=20+4=24<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-14\">Question 14<\/h4>\n\n\n\n<p>\u0926\u094b \u0905\u0902\u0915\u094b \u0915\u0940 \u090f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948\u0964 \u091c\u092c \u0907\u0938 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u094b \u0905\u0902\u0915\u094b \u0915\u0947 \u092f\u094b\u0917 \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948 \u092d\u093e\u0917\u092b\u0932 6 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u093e \u0939\u0948 \u0924\u0925\u093e \u0936\u0947\u0937 \u0915\u0941\u091b \u0928\u0939\u0940 \u092c\u091a\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 9 \u0918\u091f\u093e \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u0925\u093e \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0905\u0902\u0915 \u092a\u0932\u091f \u091c\u093e\u0924\u0947 \u0939\u0948\u0964 \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947 \u0964<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u0907\u0915\u093e\u0908 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=x<\/p>\n\n\n\n<p>\u0926\u0939\u093e\u0908 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=y<\/p>\n\n\n\n<p>\u0926\u094b \u0905\u0902\u0915\u094b \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=10y+x<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>\u2235\u092d\u093e\u091c\u094d\u092f=\u092d\u093e\u091c\u0915\u00d7\u092d\u093e\u0917\u092b\u0932+\u0936\u0947\u0937\u092b\u0932<\/p>\n\n\n\n<p>\u223410y+x=(x+y)6+0<\/p>\n\n\n\n<p>10y+x=6x+6y<\/p>\n\n\n\n<p>10y+x-6x-6y=0<\/p>\n\n\n\n<p>-5x+4y=0..(i)\u00d71<\/p>\n\n\n\n<p>\u0905\u092c,&nbsp;<\/p>\n\n\n\n<p>10y+x-9=10x+y<\/p>\n\n\n\n<p>10y+x-10x-y=9<\/p>\n\n\n\n<p>-9x+9y=9<\/p>\n\n\n\n<p>-9(x-y)=9<\/p>\n\n\n\n<p>-9(x-y)=9<\/p>\n\n\n\n<p>x-y=-1..(ii)\u00d74<\/p>\n\n\n\n<p>\u0938\u092e\u0940\u0915\u0930\u0923 (i) \u0924\u0925\u093e (ii) \u0938\u0947,<\/p>\n\n\n\n<p>$\\begin{aligned}-5x+4y&amp;=0\\\\4x-4y&amp;=-4\\\\ \\hline -x&amp;=-4\\end{aligned}$<\/p>\n\n\n\n<p>x=4<\/p>\n\n\n\n<p>x \u0915\u093e \u092e\u093e\u0928 \u0938\u092e\u0940\u0915\u0930\u0923 (i) \u092e\u0947 \u0930\u0916\u0928\u0947 \u092a\u0930,<\/p>\n\n\n\n<p>-5x+4y=0<\/p>\n\n\n\n<p>-5(4)+4y=0<\/p>\n\n\n\n<p>4y=20<\/p>\n\n\n\n<p>y=5<\/p>\n\n\n\n<p>\u2234\u0926\u094b \u0905\u0902\u0915\u094b \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=10y+x<\/p>\n\n\n\n<p>=10(5)+4<\/p>\n\n\n\n<p>=50+4<\/p>\n\n\n\n<p>=54<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-15\">Question 15<\/h4>\n\n\n\n<p>\u0926\u094b \u0905\u0902\u0915\u094b \u0915\u0940 \u090f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e \u090f\u0935\u0902 \u0909\u0938\u0915\u0947 \u0905\u0902\u0915\u094b \u0915\u094b \u0909\u0932\u091f\u0928\u0947 \u092a\u0930 \u092c\u0928\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u093e \u092f\u094b\u0917 66 \u0939\u0948\u0964 \u092f\u0926\u093f \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0905\u0902\u0915\u094b \u0915\u093e \u0905\u0928\u094d\u0924\u0930 2 \u0939\u094b , \u0924\u094b \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f \u0964 \u0910\u0938\u0940 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0915\u093f\u0924\u0928\u0940 \u0939\u0948?<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u0907\u0915\u093e\u0908 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=x<\/p>\n\n\n\n<p>\u0926\u0939\u093e\u0908 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=y<\/p>\n\n\n\n<p>\u0926\u094b \u0905\u0902\u0915\u094b \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=10y+x<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>(10y+x)+(10x+y)=66<\/p>\n\n\n\n<p>11x+11y=66<\/p>\n\n\n\n<p>11(x+y)=66<\/p>\n\n\n\n<p>x+y=66..(i)<\/p>\n\n\n\n<p>x-y=2 \u092f\u093e y-x=2<\/p>\n\n\n\n<p>CASE-I<\/p>\n\n\n\n<p>$\\begin{aligned}x+y&amp;=6..(i)\\\\x-y&amp;=2..(ii)\\\\ \\hline 2x&amp;=8\\end{aligned}$<\/p>\n\n\n\n<p>x=4<\/p>\n\n\n\n<p>x \u0915\u093e \u092e\u093e\u0928 \u0938\u092e\u0940\u0915\u0930\u0923 (i) \u092e\u0947 \u0930\u0916\u0928\u0947 \u092a\u0930,<\/p>\n\n\n\n<p>x+y=6<\/p>\n\n\n\n<p>4+y=6<\/p>\n\n\n\n<p>y=2<\/p>\n\n\n\n<p>\u2234\u0926\u094b \u0905\u0902\u0915\u094b \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=10y+x<\/p>\n\n\n\n<p>=10(2)+4<\/p>\n\n\n\n<p>=20+4<\/p>\n\n\n\n<p>=24<\/p>\n\n\n\n<p>CASE-II<\/p>\n\n\n\n<p>$\\begin{aligned}x+y&amp;=6..(i)\\\\y-x&amp;=2..(ii)\\\\ \\hline 2y&amp;=8\\end{aligned}$<\/p>\n\n\n\n<p>y=4<\/p>\n\n\n\n<p>y \u0915\u093e \u092e\u093e\u0928 \u0938\u092e\u0940\u0915\u0930\u0923 (i) \u092e\u0947 \u0930\u0916\u0928\u0947 \u092a\u0930,<\/p>\n\n\n\n<p>x+y=6<\/p>\n\n\n\n<p>x+4=6<\/p>\n\n\n\n<p>x=2<\/p>\n\n\n\n<p>\u2235 \u0926\u094b \u0905\u0902\u0915\u094b \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e<\/p>\n\n\n\n<p>=10y+x<\/p>\n\n\n\n<p>=10(4)+2<\/p>\n\n\n\n<p>=42<\/p>\n\n\n\n<p>\u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 24 \u0914\u0930 42&nbsp;<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-16\">Question 16<\/h4>\n\n\n\n<p>\u090f\u0915 \u092e\u093f\u0924\u094d\u0930 \u0926\u0942\u0938\u0930\u0947 \u0938\u0947 \u0915\u0939\u0924\u093e, \u092f\u0926\u093f \u0924\u0941\u092e \u092e\u0941\u091d\u0947 \u090f\u0915 \u0938\u094c \u0926\u0947 \u0926\u094b \u0924\u094b \u092e\u0948 \u0906\u092a\u0938\u0947 \u0926\u094b \u0917\u0941\u0928\u093e \u0927\u0928\u0940 \u092c\u0928 \u091c\u093e\u090a\u0901\u0917\u093e&#8217; \u0926\u0942\u0938\u0930\u093e \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0924\u093e \u0939\u0948, \u092f\u0926\u093f \u0906\u092a, \u092e\u0941\u091d\u0947 \u0926\u0938 \u0926\u0947 \u0926\u0947\u0902, \u0924\u094b \u092e\u0947\u0902 \u0906\u092a \u0938\u0947 \u091b\u0903 \u0917\u0941\u0928\u093e \u0927\u0928\u0940 \u092c\u0928 \u091c\u093e\u090a\u0901\u0917\u093e &#8216; \u092c\u0924\u093e\u0907\u090f \u0915\u093f \u0909\u0928\u0915\u0940 \u0915\u094d\u0930\u092e\u0936: \u0915\u094d\u092f\u093e \u0938\u0902\u092a\u0924\u094d\u0924\u093f\u092f\u093e\u0902 \u0939\u0948\u0902 \u0964<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u092a\u0939\u0932\u0947 \u092e\u093f\u0924\u094d\u0930 \u0915\u0940 \u0938\u0902\u092a\u0924\u094d\u0924\u093f=x<\/p>\n\n\n\n<p>\u0926\u0942\u0938\u0930\u0947 \u092e\u093f\u0924\u094d\u0930 \u0915\u0940 \u0938\u0902\u092a\u0924\u094d\u0924\u093f=y<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>x+100=2(y-100)<\/p>\n\n\n\n<p>x+100=2y-200<\/p>\n\n\n\n<p>x-2y=-300..(i)<\/p>\n\n\n\n<p>\u0905\u092c,<\/p>\n\n\n\n<p>6(x-10)=y+10<\/p>\n\n\n\n<p>6x-60=y+10<\/p>\n\n\n\n<p>6(x-10)=y+10<\/p>\n\n\n\n<p>6x-60=y+10<\/p>\n\n\n\n<p>6x-y=70..(ii)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-17\">Question 17<\/h4>\n\n\n\n<p>\u0926\u094b \u0905\u0902\u0915\u094b\u0902 \u0915\u0940 \u090f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e, \u0905\u092a\u0928\u0947 \u0905\u0902\u0915\u094b\u0902 \u0915\u0947 \u092f\u094b\u0917 \u0915\u0947 \u091a\u093e\u0930 \u0917\u0941\u0928\u0947 \u0938\u0947 3 \u091c\u094d\u092f\u093e\u0926\u093e \u0939\u0948 \u0964 \u092f\u0926\u093f \u0938\u0902\u0916\u094d\u092f\u093e \u092e\u0947\u0902 18 \u091c\u094b\u0921\u093c \u0926\u093f\u092f\u093e \u0917\u092f\u093e, \u0924\u094b \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0905\u0902\u0915 \u092a\u0932\u091f \u091c\u093e\u0924\u0947 \u0939\u0948\u0964 \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0964<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u0907\u0915\u093e\u0908 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=x<\/p>\n\n\n\n<p>\u0926\u0939\u093e\u0908 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=y<\/p>\n\n\n\n<p>\u0926\u094b \u0905\u0902\u0915\u094b \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=10y+x<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>10y+x=4(x+y)+3<\/p>\n\n\n\n<p>10y+x=4x+4y+3<\/p>\n\n\n\n<p>10y+x-4x-4y=3<\/p>\n\n\n\n<p>-3x+6y=3<\/p>\n\n\n\n<p>-3(x-2y=3<\/p>\n\n\n\n<p>x-2y=-1..(i)<\/p>\n\n\n\n<p>\u0905\u092c, 10y+x+18=10x+y<\/p>\n\n\n\n<p>10y+x-10x-y=-18<\/p>\n\n\n\n<p>-9x+9y=-18<\/p>\n\n\n\n<p>-9(x-y)=-18<\/p>\n\n\n\n<p>x-y=2..(ii)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-18\">Question 18<\/h4>\n\n\n\n<p>\u0926\u094b \u0905\u0902\u0915\u094b\u0902 \u0935\u093e\u0932\u0940 \u0938\u0902\u0916\u094d\u092f\u093e, \u0905\u092a\u0928\u0947 \u0905\u0902\u0915\u094b\u0902 \u0915\u0947 \u092f\u094b\u0917 \u0915\u0940 \u0938\u093e\u0924 \u0917\u0941\u0928\u0940 \u0939\u0948 \u0964 \u091c\u092c \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 27 \u0918\u091f\u093e \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u092c \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0905\u0902\u0915 \u092a\u0932\u091f \u091c\u093e\u0924\u0947 \u0939\u0948\u0964 \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947 \u0964<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u0907\u0915\u093e\u0908 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=x&nbsp;<\/p>\n\n\n\n<p>\u0926\u0939\u093e\u0908 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=y<\/p>\n\n\n\n<p>\u0926\u094b \u0905\u0902\u0915\u094b \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=10y+x<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>10y+x=7(x+y)<\/p>\n\n\n\n<p>10y+x-7x-7y=0<\/p>\n\n\n\n<p>-6x+3y=0<\/p>\n\n\n\n<p>-3(2x-y)=0<\/p>\n\n\n\n<p>2x-y=0..(i)<\/p>\n\n\n\n<p>\u0905\u092c,&nbsp;<\/p>\n\n\n\n<p>10y+x-2y=10x+y<\/p>\n\n\n\n<p>10y+x-10x-y=27<\/p>\n\n\n\n<p>-9x+9y=27<\/p>\n\n\n\n<p>-9(x-y)=27<\/p>\n\n\n\n<p>x-y=-3..(ii)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-19\">Question 19<\/h4>\n\n\n\n<p>\u0926\u094b \u0905\u0902\u0915\u094b\u0902 \u0935\u093e\u0932\u0940 \u090f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0905\u0902\u0915\u094b\u0902 \u0915\u093e \u092f\u094b\u0917 15 \u0939\u0948 \u0964 \u0938\u0902\u0916\u094d\u092f\u093e \u0915\u0947 \u0905\u0902\u0915\u094b\u0902 \u0915\u0947 \u092a\u0932\u091f\u0928\u0947 \u0938\u0947 \u092c\u0928\u0940 \u0938\u0902\u0916\u094d\u092f\u093e, \u0926\u0924\u094d\u0924 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 9 \u0905\u0927\u093f\u0915 \u0939\u094b \u091c\u093e\u0924\u0940 \u0939\u0948\u0964 \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902\u0964<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u0907\u0915\u093e\u0908 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=x<\/p>\n\n\n\n<p>\u0926\u0939\u093e\u0908 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=y<\/p>\n\n\n\n<p>\u0926\u094b \u0905\u0902\u0915\u094b \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=10y+x<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>x+y=15..(i)<\/p>\n\n\n\n<p>(10x+y)-(10y+x)=9<\/p>\n\n\n\n<p>10x+y-10y-x=9<\/p>\n\n\n\n<p>9x-9y=9&nbsp;<\/p>\n\n\n\n<p>x-y=1..(ii)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-20\">Question 20<\/h4>\n\n\n\n<p>\u0915\u093f\u0938\u0940 \u092d\u093f\u0928\u094d\u0928 \u0915\u0947 \u0905\u0902\u0936 \u090f\u0935\u0902 \u0939\u0930 \u0915\u093e \u092f\u094b\u0917, \u0909\u0938\u0915\u0947 \u0939\u0930 \u0915\u0947 \u0926\u0941\u0917\u0941\u0928\u0947 \u0938\u0947 3 \u0915\u092e \u0939\u0948\u0964 \u092f\u0926\u093f \u0905\u0902\u0936 \u090f\u0935\u0902 \u0939\u0930 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0915\u094b 1 \u0915\u092e \u0915\u0930 \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u092c \u0905\u0902\u0936, \u0939\u0930 \u0915\u093e \u0906\u0927\u093e \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092d\u093f\u0928 \u091c\u094d\u091e\u093e\u0924\u094d\u0924 \u0915\u0930\u0947\u0902\u0964<br>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u092d\u093f\u0928\u094d\u0928 \u0915\u093e \u0905\u0902\u0936=x<\/p>\n\n\n\n<p>\u092d\u093f\u0928\u094d\u0928 \u0915\u093e \u0939\u0930=y<\/p>\n\n\n\n<p>\u092d\u093f\u0928\u094d\u0928$=\\frac{x}{y}$<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>x+y=2y-3<\/p>\n\n\n\n<p>x+y-2y=-3<\/p>\n\n\n\n<p>$\\frac{x-1}{y-1}=\\frac{1}{2}$<\/p>\n\n\n\n<p>2(x-1)=(y-1)<\/p>\n\n\n\n<p>2x-2=y-1<\/p>\n\n\n\n<p>2x-y=1..(ii)<\/p>\n\n\n\n<p>\u0938\u092e\u0940\u0915\u0930\u0923 (i) \u0924\u0925\u093e (ii) \u0938\u0947,<\/p>\n\n\n\n<p>$\\begin{aligned}x-y&amp;=-3\\\\2x-y&amp;=1\\\\-\\phantom{2x}+\\phantom{y}&amp;\\phantom{=}-\\phantom{1}\\\\ \\hline&nbsp; -x&amp;=-4\\end{aligned}$<\/p>\n\n\n\n<p>x=4<\/p>\n\n\n\n<p>x \u0915\u093e \u092e\u093e\u0928 \u0938\u092e\u0940\u0915\u0930\u0923 (i) \u092e\u0947 \u0930\u0916\u0928\u0947 \u092a\u0930,<\/p>\n\n\n\n<p>x-y=-3<\/p>\n\n\n\n<p>4-y=-3<\/p>\n\n\n\n<p>-y=-7<\/p>\n\n\n\n<p>y=7<\/p>\n\n\n\n<p>\u2234\u092d\u093f\u0928\u094d\u0928$=\\frac{x}{y}=\\frac{4}{7}$<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-21\">Question 21<\/h4>\n\n\n\n<p>\u0915\u093f\u0938\u0940 \u092d\u093f\u0928\u094d\u0928 \u0915\u0947 \u0905\u0902\u0936 \u090f\u0935\u0902 \u0939\u0930 \u0915\u093e \u092f\u094b\u0917 \u0909\u0938\u0915\u0947 \u0905\u0902\u0936 \u0915\u0947 \u0926\u0941\u0917\u0941\u0928\u0947 \u0938\u0947 4 \u0905\u0927\u093f\u0915 \u0939\u0948\u0964\u092f\u0926\u093f \u0905\u0902\u0936 \u0914\u0930 \u0939\u0930 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0915\u094b 3 \u0938\u0947 \u092c\u0921\u093c\u093e \u0926\u093f\u092f\u093e \u091c\u093e\u092f \u0924\u092c \u0909\u0928\u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 2:3 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092d\u093f\u0928\u094d\u0928 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0964<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u092d\u093f\u0928\u094d\u0928 \u0915\u093e \u0905\u0902\u0936=x<\/p>\n\n\n\n<p>\u092d\u093f\u0928\u094d\u0928 \u0915\u093e \u0939\u0930=y<\/p>\n\n\n\n<p>\u092d\u093f\u0928\u094d\u0928$=\\frac{x}{y}$<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>x+y=2x+4<\/p>\n\n\n\n<p>x+y-2x=4<\/p>\n\n\n\n<p>-x+y=4..(i)<\/p>\n\n\n\n<p>\u0905\u092c,<\/p>\n\n\n\n<p>$\\frac{x-3}{y+3}=\\frac{2}{3}$<\/p>\n\n\n\n<p>3x+9=2y+6<\/p>\n\n\n\n<p>3x-2y=-3..(ii)<\/p>\n\n\n\n<p>\u0938\u092e\u0940\u0915\u0930\u0923 (i) \u0924\u0925\u093e (ii) \u0938\u0947,<\/p>\n\n\n\n<p>$\\begin{aligned}-2x+2y&amp;=8\\\\3x-2y&amp;=-3\\\\ \\hline x=5\\end{aligned}$<\/p>\n\n\n\n<p>x \u0915\u093e \u092e\u093e\u0928 \u0938\u092e\u0940\u0915\u0930\u0923 (i) \u092e\u0947 \u0930\u0916\u0928\u0947 \u092a\u0930,<\/p>\n\n\n\n<p>-x+y=4<\/p>\n\n\n\n<p>-5+y=4<\/p>\n\n\n\n<p>y=9&nbsp;<\/p>\n\n\n\n<p>\u2234\u092d\u093f\u0928\u094d\u0928$=\\frac{5}{9}$<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-22\">Question 22<\/h4>\n\n\n\n<p>\u0915\u093f\u0938\u0940 \u092d\u093f\u0928\u094d\u0928 \u0915\u0947 \u0905\u0902\u0936 \u090f\u0935\u0902 \u0939\u0930 \u0915\u093e \u092f\u094b\u0917 8 \u0939\u0948\u0964 \u092f\u0926\u093f \u0905\u0902\u0936 \u090f\u0935\u0902 \u0939\u0930 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092e\u0947 3 \u091c\u094b\u0921\u093c \u0926\u093f\u092f\u093e \u091c\u093e\u092f, \u0924\u094b \u092d\u093f\u0928\u094d\u0928&nbsp;$\\frac{3}{4}$ \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092d\u093f\u0928\u094d\u0928 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0964<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u092d\u093f\u0928\u094d\u0928 \u0915\u093e \u0905\u0902\u0936=x<\/p>\n\n\n\n<p>\u092d\u093f\u0928\u094d\u0928 \u0915\u093e \u0939\u0930=y<\/p>\n\n\n\n<p>\u092d\u093f\u0928\u094d\u0928$=\\frac{x}{y}$<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>x+y=8..(i)<\/p>\n\n\n\n<p>\u0905\u092c,<\/p>\n\n\n\n<p>$\\frac{x+3}{y+3}=\\frac{3}{4}$<\/p>\n\n\n\n<p>4x+12=3y+9<\/p>\n\n\n\n<p>4x-3y=-3..(ii)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-23\">Question 23<\/h4>\n\n\n\n<p>(i) \u090f\u0915 \u092d\u093f\u0928\u094d\u0928 \u0915\u093e \u0905\u0902\u0936, \u0909\u0938\u0915\u0947 \u0939\u0930 \u0938\u0947 1 \u0915\u092e \u0939\u0948\u0964 \u092f\u0926\u093f \u0909\u0938\u0915\u0947 \u0905\u0902\u0936 \u090f\u0935\u0902 \u0939\u0930 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092e\u0947\u0902 3 \u091c\u094b\u0921\u093c \u0926\u093f\u092f\u093e \u091c\u093e\u092f \u0924\u092c \u092d\u093f\u0928\u094d\u0928 \u0915\u093e \u092e\u093e\u0928 $\\frac{3}{28}$ \u092c\u0922\u093c \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092d\u093f\u0928\u094d\u0928 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902 \u0964<\/p>\n\n\n\n<p>\u092d\u093f\u0928\u094d\u0928 \u0915\u093e \u0939\u0930=y<\/p>\n\n\n\n<p>\u092d\u093f\u0928\u094d\u0928$=\\frac{x}{y}$<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>x+1=y..(i)<\/p>\n\n\n\n<p>$\\frac{x+3}{y+3}=\\frac{x}{y}+\\frac{3}{28}$<\/p>\n\n\n\n<p>$\\frac{x+3}{y+3}=\\frac{x}{5}+\\frac{3}{28}$<\/p>\n\n\n\n<p>$\\frac{x+3}{x+1+3}=\\frac{x}{x+1}+\\frac{3}{28}$<\/p>\n\n\n\n<p>$\\frac{x+3}{x+4}-\\frac{x}{x+1}=\\frac{3}{28}$<\/p>\n\n\n\n<p>$\\frac{(x+3)(x+1)-x(x+4)}{(x+4)(x+1)}=\\frac{3}{28}$<\/p>\n\n\n\n<p>$\\frac{x^{2}+x+3 x+3-x^{2}-4 x}{x^{2}+x+4 x-4x}=\\frac{3}{28}$<\/p>\n\n\n\n<p>$\\frac{4 x+3-4 x}{x^{2}+5 x+4}=\\frac{3}{28}$<\/p>\n\n\n\n<p>$\\frac{3}{x^{2}+5 x+4}=\\frac{3}{28}$<\/p>\n\n\n\n<p>$x^{2}+5 x+4=28$<\/p>\n\n\n\n<p>$x^{2}+5 x+4-28=0$<\/p>\n\n\n\n<p>$x^{2}+5 x-24=0$<\/p>\n\n\n\n<p>$x^{2}+8 x-3 x-24=0$<\/p>\n\n\n\n<p>x(x+8)-3(x+8)=0<\/p>\n\n\n\n<p>(x+8)(x-3)=0<\/p>\n\n\n\n<p>$\\begin{array}{l|l}x+8=0&amp;x-3=0\\\\x=-8 &amp; x=3\\end{array}$<\/p>\n\n\n\n<p>x=3 \u092a\u0930,<\/p>\n\n\n\n<p>y=x+1 (\u0938\u092e\u0940\u0915\u0930\u0923 (i))<\/p>\n\n\n\n<p>y=3+1=4<\/p>\n\n\n\n<p>\u2234\u092d\u093f\u0928\u094d\u0928$=\\frac{x}{y}=\\frac{3}{4}$<\/p>\n\n\n\n<p>(ii)&nbsp;\u091c\u092c \u0915\u093f\u0938\u0940 \u092d\u093f\u0928\u094d\u0928 \u0915\u0947 \u0905\u0902\u0936 \u0938\u0947 1 \u0918\u091f\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u094b \u092c\u0939 $\\frac{1}{3}$ \u0939\u094b \u091c\u093e\u0924\u0940 \u0939\u0948 \u0924\u0925\u093e \u092f\u0926\u093f \u0939\u0930 \u092e\u0947\u0902 8 \u091c\u094b\u0921\u093c \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u094b \u0935\u0939 $\\frac{1}{4}$ \u0939\u094b \u091c\u093e\u0924\u0940 \u0939\u0948 \u0964 \u092d\u093f\u0928\u094d\u0928 \u092c\u0924\u093e\u0935\u0947\u0902 \u0964<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092d\u093f\u0928\u094d\u0928 \u0915\u093e \u0939\u0930=y<\/p>\n\n\n\n<p>\u092d\u093f\u0928\u094d\u0928$=\\frac{x}{y}$<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>$\\begin{array}{l|l}\\frac{x-1}{y}=\\frac{1}{3}&amp;\\frac{x}{y+8}=\\frac{1}{4}\\\\3x-3=y&amp; 4x=y+8\\\\3x-y=3..(i)&amp;4x-y=8..(ii)\\end{array}$<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-24\">Question 24<\/h4>\n\n\n\n<p>\u092a\u093f\u0924\u093e \u0915\u093e \u0909\u092e\u094d\u0930, \u092a\u0941\u0924\u094d\u0930 \u0915\u0940 \u0909\u092e\u094d\u0930 \u0915\u0947 \u0924\u0940\u0928 \u0917\u0941\u0928\u0947 \u0938\u09473 \u0935\u0930\u094d\u0937 \u0905\u0927\u093f\u0915 \u0939\u0948\u09643 \u0924\u0940\u0928 \u0935\u0930\u094d\u0937 \u092c\u093e\u0926 \u092a\u093f\u0924\u093e \u0915\u0940 \u0909\u092e\u094d\u0930, \u092a\u0941\u0924\u094d\u0930 \u0915\u0940 \u0909\u092e\u094d\u0930 \u0915\u0947 \u0926\u0941\u0917\u0941\u0928\u0947 \u0938\u0947 10 \u0935\u0930\u094d\u0937 \u0905\u0927\u093f\u0915 \u0939\u094b \u091c\u093e\u092f\u0947\u0917\u0940 \u0964 \u0909\u0928\u0915\u0940 \u0935\u0930\u094d\u0924\u092e\u093e\u0928 \u0909\u092e\u094d\u0930 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902 \u0964<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u092a\u093f\u0924\u093e \u0915\u0940 \u0935\u0930\u094d\u0924\u092e\u093e\u0928 \u0909\u092e\u094d\u0930= x \u0935\u0930\u094d\u0937<\/p>\n\n\n\n<p>\u092a\u0941\u0924\u094d\u0930 \u0915\u0940 \u0935\u0930\u094d\u0924\u092e\u093e\u0928 \u0909\u092e\u094d\u0930= y \u0935\u0930\u094d\u0937<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>x=3y+3<\/p>\n\n\n\n<p>x-3y=3..(i)<\/p>\n\n\n\n<p>\u0905\u092c, x+3=2(y+3)+10<\/p>\n\n\n\n<p>x+3=2y+6+10<\/p>\n\n\n\n<p>x-2y=13..(ii)<\/p>\n\n\n\n<p>\u0938\u092e\u0940\u0915\u0930\u0923 (i) \u0924\u0925\u093e (ii) \u0938\u0947,<\/p>\n\n\n\n<p>$\\begin{aligned}x-3y&amp;=3\\\\x-2y&amp;=13\\\\ -\\phantom{x}+\\phantom{2y}&amp;\\phantom{=}-\\phantom{13}\\\\ \\hline -y&amp;=-10 \\end{aligned}$<\/p>\n\n\n\n<p>y \u0915\u093e \u092e\u093e\u0928 \u0938\u092e\u0940\u0915\u0930\u0923 (i) \u092e\u0947 \u0930\u0916\u0928\u0947 \u092a\u0930,<\/p>\n\n\n\n<p>x-3y=3<\/p>\n\n\n\n<p>x-3(10)=3<\/p>\n\n\n\n<p>x=33<\/p>\n\n\n\n<p>\u2234\u092a\u093f\u0924\u093e \u0915\u0940 \u0935\u0930\u094d\u0924\u092e\u093e\u0928 \u0909\u092e\u094d\u0930=33 \u0935\u0930\u094d\u0937<\/p>\n\n\n\n<p>\u092a\u0941\u0924\u094d\u0930 \u0915\u0940 \u0935\u0930\u094d\u0924\u092e\u093e\u0928 \u0909\u092e\u094d\u0930=10 \u0935\u0930\u094d\u0937<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-25\">Question 25<\/h4>\n\n\n\n<p>\u0926\u094b \u0935\u0930\u094d\u0937 \u092a\u0939\u0932\u0947 \u090f\u0915 \u0906\u0926\u092e\u0940 \u0915\u0940 \u0909\u092e\u094d\u0930 \u0905\u092a\u0928\u0947 \u092a\u0941\u0924\u094d\u0930 \u0915\u0940 \u0909\u092e\u094d\u0930 \u0915\u0947 5 \u0917\u0941\u0928\u0940 \u0925\u0940\u0964\u0926\u094b \u0935\u0930\u094d\u0937 \u092c\u093e\u0926 \u0909\u0938\u0915\u0940 \u0909\u092e\u094d\u0930 \u0905\u092a\u0928\u0947 \u092c\u0947\u091f\u0947 \u0915\u0940 \u0909\u092e\u094d\u0930 \u0915\u0947 \u0924\u0940\u0928 \u0917\u0941\u0928\u0947 \u0938\u0947 8 \u0935\u0930\u094d\u0937 \u0905\u0927\u093f\u0915 \u0939\u094b \u091c\u093e\u092f\u0947\u0917\u0940 \u0964 \u0906\u0926\u092e\u0940 \u0914\u0930 \u0909\u0938\u0915\u0947 \u092a\u0941\u0924\u094d\u0930 \u0915\u0940 \u0935\u0930\u094d\u0924\u092e\u093e\u0928 \u0906\u092f\u0941 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0964<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0915\u0940 \u0935\u0930\u094d\u0924\u092e\u093e\u0928 \u0906\u092f\u0941=x \u0935\u0930\u094d\u0937<\/p>\n\n\n\n<p>\u092a\u0941\u0924\u094d\u0930 \u0915\u0940 \u0935\u0930\u094d\u0924\u092e\u093e\u0928 \u0906\u092f\u0941=y \u0935\u0930\u094d\u0937<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>x-2=5(y-2)<\/p>\n\n\n\n<p>x-2=5y-10<\/p>\n\n\n\n<p>x-5y=-8..(i)<\/p>\n\n\n\n<p>\u0905\u092c,<\/p>\n\n\n\n<p>x+2=3(y+2)+8<\/p>\n\n\n\n<p>x+2=3y+6+8<\/p>\n\n\n\n<p>x-3y=12..(ii)<\/p>\n\n\n\n<p>\u0938\u092e\u0940\u0915\u0930\u0923 (i) \u0924\u0925\u093e (ii) \u0938\u0947,<\/p>\n\n\n\n<p>$\\begin{aligned}x-5y&amp;=-8\\\\x-3y&amp;=12\\\\-\\phantom{x}+\\phantom{3y}&amp;\\phantom{=}-\\phantom{12}\\\\ \\hline -2y&amp;=-20\\end{aligned}$<\/p>\n\n\n\n<p>y=10<\/p>\n\n\n\n<p>y \u0915\u093e \u092e\u093e\u0928 \u0938\u092e\u0940\u0915\u0930\u0923 (ii) \u092e\u0947 \u0930\u0916\u0928\u0947 \u092a\u0930,<\/p>\n\n\n\n<p>x-3y=12<\/p>\n\n\n\n<p>x-3(10)=12<\/p>\n\n\n\n<p>x=12+30<\/p>\n\n\n\n<p>x=42<\/p>\n\n\n\n<p>\u2234\u0935\u094d\u092f\u0915\u094d\u0924\u093f \u0915\u0940 \u0935\u0930\u094d\u0924\u092e\u093e\u0928 \u0906\u092f\u0941=42 \u0935\u0930\u094d\u0937<\/p>\n\n\n\n<p>\u092a\u0941\u0924\u094d\u0930 \u0915\u0940 \u0935\u0930\u094d\u0924\u092e\u093e\u0928 \u0906\u092f\u0941=10 \u0935\u0930\u094d\u0937<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-26\">Question 26<\/h4>\n\n\n\n<p>\u092a\u093f\u0924\u093e \u0915\u0940 \u0909\u092e\u094d\u0930 \u0905\u092a\u0928\u0947 \u0926\u094b \u092a\u0941\u0924\u094d\u0930\u094b \u0915\u0947 \u0909\u092e\u094d\u0930\u094b \u0915\u0947 \u092f\u094b\u0917 \u0915\u093e \u0924\u0940\u0928 \u0917\u0941\u0928\u093e \u0939\u0948 \u0964 5 \u0935\u0930\u094d\u0937\u094b \u0915\u0947 \u092c\u093e\u0926 \u092a\u093f\u0924\u093e \u0915\u0940 \u0909\u092e\u094d\u0930 \u0926\u094b\u0928\u094b \u092a\u0941\u0924\u094d\u0930\u094b \u0915\u0947 \u0909\u092e\u094d\u0930\u094b \u0915\u0947 \u092f\u094b\u0917 \u0915\u0940 \u0926\u0941\u0917\u0941\u0928\u0940 \u0939\u094b \u091c\u093e\u092f\u0947\u0917\u0940\u0964 \u092a\u093f\u0924\u093e \u0915\u0940 \u0909\u092e\u094d\u0930 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0964<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u092a\u093f\u0924\u093e \u0915\u0940 \u0935\u0930\u094d\u0924\u092e\u093e\u0928 \u0909\u092e\u094d\u0930=x \u0935\u0930\u094d\u0937<\/p>\n\n\n\n<p>\u0926\u094b \u092a\u0941\u0924\u094d\u0930\u094b \u0915\u0947 \u0909\u092e\u094d\u0930\u094b \u0915\u093e \u0935\u0930\u094d\u0924\u092e\u093e\u0928 \u092f\u094b\u0917=y \u0935\u0930\u094d\u0937<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>x=3y<\/p>\n\n\n\n<p>x-3y=0..(i)<\/p>\n\n\n\n<p>\u0905\u092c,<\/p>\n\n\n\n<p>x+5=2(y+5+5)<\/p>\n\n\n\n<p>x+5=2y+20<\/p>\n\n\n\n<p>x-2y=15..(ii)<\/p>\n\n\n\n<p>\u0938\u092e\u0940\u0915\u0930\u0923 (i) \u0924\u0925\u093e (ii) \u0938\u0947,<\/p>\n\n\n\n<p>$\\begin{aligned}x-3y&amp;=0\\\\x-2y&amp;=15\\\\-\\phantom{x}+\\phantom{2y}&amp;\\phantom{=}-\\phantom{15}\\\\ \\hline -y&amp;=-15 \\end{aligned}$<\/p>\n\n\n\n<p>y=15<\/p>\n\n\n\n<p>y \u0915\u093e \u092e\u093e\u0928 \u0938\u092e\u0940\u0915\u0930\u0923 (ii) \u092e\u0947 \u0930\u0916\u0928\u0947 \u092a\u0930,<\/p>\n\n\n\n<p>x-2y=15<\/p>\n\n\n\n<p>x-2(15)=15<\/p>\n\n\n\n<p>x=15+30<\/p>\n\n\n\n<p>x=45<\/p>\n\n\n\n<p>\u2234\u092a\u093f\u0924\u093e \u0915\u0940 \u0935\u0930\u094d\u0924\u092e\u093e\u0928 \u0909\u092e\u094d\u0930=45 \u0935\u0930\u094d\u0937<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-27\">Question 27<\/h4>\n\n\n\n<p>5 \u0935\u0930\u094d\u0937\u094b \u092a\u0939\u0932\u0947 A \u0915\u0940 \u0909\u092e\u094d\u0930 B \u0915\u0940 \u0909\u092e\u094d\u0930 \u0915\u0940 \u0924\u0940\u0928 \u0917\u0941\u0928\u0940 \u0925\u0940\u0964 \u0914\u0930 10 \u0935\u0930\u094d\u0937\u094b \u092c\u093e\u0926 A \u0915\u0940 \u0909\u092e\u094d\u0930 B \u0915\u0947 \u0909\u092e\u094d\u0930 \u0915\u0940 \u0926\u0941\u0917\u0941\u0928\u0940 \u0939\u094b \u091c\u093e\u092f\u0947\u0917\u0940 A \u0914\u0930 B \u0915\u0940 \u0935\u0930\u094d\u0924\u092e\u093e\u0928 \u0909\u092e\u094d\u0930 \u0915\u094d\u092f\u093e \u0939\u0948?<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e A \u0915\u093e \u0935\u0930\u094d\u0924\u092e\u093e\u0928 \u0909\u092e\u094d\u0930=x \u0935\u0930\u094d\u0937<\/p>\n\n\n\n<p>B \u0915\u093e \u0935\u0930\u094d\u0924\u092e\u093e\u0928 \u0909\u092e\u094d\u0930=y \u0935\u0930\u094d\u0937<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947 ,<\/p>\n\n\n\n<p>x-5=3(y-5)<\/p>\n\n\n\n<p>x-5=3y-15<\/p>\n\n\n\n<p>x-3y=-10..(i)<\/p>\n\n\n\n<p>\u0905\u092c,<\/p>\n\n\n\n<p>x+10=2(y+10)<\/p>\n\n\n\n<p>x+10=2y+200<\/p>\n\n\n\n<p>x-2y=10..(ii)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-28\">Question 28<\/h4>\n\n\n\n<p>10 \u0935\u0930\u094d\u0937 \u092c\u093e\u0926 \u090f\u0915 \u0906\u0926\u092e\u0940 \u0915\u0940 \u0909\u092e\u094d\u0930 ,\u0909\u0938\u0915\u0947 \u092c\u0947\u091f\u0947 \u0915\u0940 \u0909\u092e\u094d\u0930 \u0915\u0940 \u0926\u0941\u0917\u0941\u0928\u0940 \u0939\u094b \u091c\u093e\u092f\u0947\u0917\u0940, 10 \u0935\u0930\u094d\u0937 \u092a\u0942\u0930\u094d\u0935 \u0906\u0926\u092e\u0940 \u0915\u0940 \u0909\u092e\u094d\u0930 \u0909\u0938\u0915\u0947 \u092a\u0941\u0924\u094d\u0930\u094b \u0915\u0940 \u0909\u092e\u094d\u0930 \u0915\u0940 4 \u0917\u0941\u0928\u0940 \u0925\u0940 \u0964 \u0909\u0928\u0915\u0940 \u0935\u0930\u094d\u0924\u092e\u093e\u0928 \u0909\u092e\u094d\u0930 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0964<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u0906\u0926\u092e\u0940 \u0915\u0940 \u0935\u0930\u094d\u0924\u092e\u093e\u0928 \u0906\u092f\u0941=x \u0935\u0930\u094d\u0937<\/p>\n\n\n\n<p>\u092a\u0941\u0924\u094d\u0930 \u0915\u0940 \u0935\u0930\u094d\u0924\u092e\u093e\u0928 \u0906\u092f\u0941=y \u0935\u0930\u094d\u0937<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>x+10=2(y+10)<\/p>\n\n\n\n<p>x+10=2y+20<\/p>\n\n\n\n<p>x-2y=10..(i)<\/p>\n\n\n\n<p>\u0905\u092c,<\/p>\n\n\n\n<p>x-10=4(y-10)<\/p>\n\n\n\n<p>x-10=4y-40<\/p>\n\n\n\n<p>x-4y=-30..(ii)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-29\">Question 29<\/h4>\n\n\n\n<figure class=\"wp-block-image\"><a href=\"https:\/\/1.bp.blogspot.com\/-BbvUt4OuYe8\/XqBP7alWeGI\/AAAAAAAAHo4\/un6If4y31REDHr_UY5CXtCP5cvh8Avr7ACPcBGAsYHg\/s1600\/61.png\"><img decoding=\"async\" src=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/09\/61.png\" alt=\"\"\/><\/a><\/figure>\n\n\n\n<p>2(x+y)=166<\/p>\n\n\n\n<p>x+y=83..(i)<\/p>\n\n\n\n<p>\u0907\u0938\u0940 \u092a\u094d\u0930\u0915\u093e\u0930,<\/p>\n\n\n\n<p>\u2220B+\u2220D=180<\/p>\n\n\n\n<p>y+3+4x-5=180<\/p>\n\n\n\n<p>4x+y=182..(ii)<\/p>\n\n\n\n<p>\u0938\u092e\u0940\u0915\u0930\u0923 (i) \u0924\u0925\u093e (ii) \u0938\u0947<\/p>\n\n\n\n<p>$\\begin{aligned}x+y&amp;=83\\\\4x+y&amp;=182\\\\-\\phantom{4x}-\\phantom{y}&amp;\\phantom{=}-\\phantom{182}\\\\-3x&amp;=-99\\end{aligned}$<\/p>\n\n\n\n<p>x=33<\/p>\n\n\n\n<p>x \u0915\u093e \u092e\u093e\u0928 \u0938\u092e\u0940\u0915\u0930\u0923 (i) \u092e\u0947 \u0930\u0916\u0928\u0947 \u092a\u0930,<\/p>\n\n\n\n<p>x+y=83<\/p>\n\n\n\n<p>33+y=83<\/p>\n\n\n\n<p>y=50<\/p>\n\n\n\n<p>\u2220A=(2x+4)=(2\u00d733+4)<\/p>\n\n\n\n<p>=70<\/p>\n\n\n\n<p>\u2220B=(y+3)=(50+3)<\/p>\n\n\n\n<p>=53<\/p>\n\n\n\n<p>\u2220C=2y+10=2(50)+10<\/p>\n\n\n\n<p>=110<\/p>\n\n\n\n<p>\u2220D=4x-5=4(33)-5<\/p>\n\n\n\n<p>=132-5<\/p>\n\n\n\n<p>=123<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-31\">Question 31<\/h4>\n\n\n\n<p>\u092f\u0926\u093f \u0394ABC \u092e\u0947 \u2220C=3\u2220B=2(\u2220A+\u2220B) \u0924\u092c \u0924\u0940\u0928\u0947 \u0915\u094b\u0923\u094b \u0915\u0947 \u092e\u093e\u0928 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0964<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u2220A=x; \u2220B=y; \u2220C=180-(x+y)<\/p>\n\n\n\n<p>\u2235\u2220C=3\u2220B<\/p>\n\n\n\n<p>180-x-y=3y<\/p>\n\n\n\n<p>180=x+y+3y<\/p>\n\n\n\n<p>x+4y=180..(i)<\/p>\n\n\n\n<p>\u22352(\u2220A+\u2220B)=3\u2220B<\/p>\n\n\n\n<p>2(x+y)=3y<\/p>\n\n\n\n<p>2x+2y-3y=0<\/p>\n\n\n\n<p>2x-y=0..(ii)<\/p>\n\n\n\n<p>\u0938\u092e\u0940\u0915\u0930\u0923 (i) \u0924\u0925\u093e (ii) \u0938\u0947,<\/p>\n\n\n\n<p>$\\begin{aligned}2x+8y&amp;=360\\\\ 2x-y&amp;=0\\\\ -\\phantom{2x}+\\phantom{y}&amp;\\phantom{=}-\\phantom{0}\\\\ \\hline 9y=360\\end{aligned}$<\/p>\n\n\n\n<p>y=40<\/p>\n\n\n\n<p>y \u0915\u093e \u092e\u093e\u0928 \u0938\u092e\u0940\u0915\u0930\u0923 (ii) \u092e\u0947 \u0930\u0916\u0928\u0947 \u092a\u0930,<\/p>\n\n\n\n<p>2x-y=0<\/p>\n\n\n\n<p>2x-40=0<\/p>\n\n\n\n<p>2x=40<\/p>\n\n\n\n<p>x=20<\/p>\n\n\n\n<p>\u2234\u2220A=20, \u2220B=40,&nbsp;<\/p>\n\n\n\n<p>\u2220C=180-(x+y)<\/p>\n\n\n\n<p>=180-(20+40)<\/p>\n\n\n\n<p>=120<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-32\">Question 32<\/h4>\n\n\n\n<p>\u092f\u0926\u093f \u0394ABC \u092e\u0947 \u2220A=x, \u2220B=3x \u0924\u0925\u093e \u2220C=y<\/p>\n\n\n\n<p>\u092f\u0926\u093f 3y-5x=30. \u0926\u093f\u0916\u093e\u092f\u0947 \u0915\u093f \u092f\u0939 \u0938\u092e\u0915\u094b\u0923 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0939\u0948\u0964<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u2220A+\u2220B+\u2220C=180 (\u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u0947 \u0924\u0940\u0928\u094b \u0915\u094b\u0923\u094b \u0915\u093e \u092f\u094b\u0917 180 \u0939\u094b\u0924\u093e \u0939\u0948)<br>x+3x+y=180<\/p>\n\n\n\n<p>4x+y=180..(i)\u00d73<\/p>\n\n\n\n<p>-5x+3y=30..(ii)\u00d71<\/p>\n\n\n\n<p>\u0938\u092e\u0940\u0915\u0930\u0923 (i) \u0924\u0925\u093e (ii) \u0938\u0947,<\/p>\n\n\n\n<p>$\\begin{aligned}12x+3y&amp;=540\\\\-5x+3y&amp;=30\\\\+\\phantom{-5x}-\\phantom{3y}&amp;\\phantom{=}-\\phantom{30}\\\\ \\hline 17x&amp;=510\\end{aligned}$<\/p>\n\n\n\n<p>x \u0915\u093e \u092e\u093e\u0928 \u0938\u092e\u0940\u0915\u0930\u0923 (i) \u092e\u0947 \u0930\u0916\u0928\u0947 \u092a\u0930,<\/p>\n\n\n\n<p>4x+y=180<\/p>\n\n\n\n<p>4(30)+y=180<\/p>\n\n\n\n<p>y=180-120<\/p>\n\n\n\n<p>y=60<\/p>\n\n\n\n<p>\u2234\u2220A30, \u2220B=3x=3\u00d730=90<\/p>\n\n\n\n<p>\u2220C=60<\/p>\n\n\n\n<p>\u2235\u2220B=90<\/p>\n\n\n\n<p>\u0905\u0924\u0903 \u0394ABC \u090f\u0915 \u0938\u092e\u0915\u094b\u0923 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0939\u0948\u0964<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-33\">Question 33<\/h4>\n\n\n\n<p>\u091c\u092c \u090f\u0915 \u0906\u092f\u0924 \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 5 \u092e\u0940 \u0918\u091f\u093e \u0926\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948 \u0914\u0930 \u091a\u094c\u0921\u093c\u093e\u0908 3 \u092e\u0940 \u092c\u0921\u093c\u093e \u0926\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948 \u0924\u092c \u0909\u0938\u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 8 \u092e\u0940<sup>2&nbsp;<\/sup>\u0915\u092e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0939\u092e \u0909\u0938\u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 3 \u092e\u0940 \u0914\u0930 \u091a\u094c\u0921\u093c\u093e\u0908 2 \u092e\u0940 \u092c\u0921\u093c\u093e \u0926\u0947 \u0924\u092c \u0909\u0938\u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 74 m<sup>2&nbsp;<\/sup>\u092c\u0922\u093c \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0906\u092f\u0924 \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 \u090f\u0935\u0902 \u091a\u094c\u0921\u093c\u093e\u0908 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0964<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u0906\u092f\u0924 \u0915\u0940 \u0932\u0902\u092c\u093e\u0908=x<\/p>\n\n\n\n<p>\u0906\u092f\u0924 \u0915\u0940 \u091a\u094c\u0921\u093c\u093e\u0908=y<\/p>\n\n\n\n<p>\u0906\u092f\u0924 \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932=xy<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>(x-5)(y+3)=xy-8<br>xy+3x-5y-15=xy-8<\/p>\n\n\n\n<p>3x-5y=7..(i)\u00d72<\/p>\n\n\n\n<p>\u0905\u092c,<\/p>\n\n\n\n<p>(x+3)(y+2)=xy+74<\/p>\n\n\n\n<p>xy+2x+3y+6=xy+74<\/p>\n\n\n\n<p>2x+3y=68..(ii)\u00d73<\/p>\n\n\n\n<p>\u0938\u092e\u0940\u0915\u0930\u0923 (i) \u0924\u0925\u093e (ii) \u0938\u0947,<\/p>\n\n\n\n<p>$\\begin{aligned}6x-10y&amp;=14\\\\6x+9y&amp;=204\\\\-\\phantom{6x}-\\phantom{9y}&amp;\\phantom{=}-\\phantom{204}\\\\ \\hline -19y&amp;=-190\\end{aligned}$<\/p>\n\n\n\n<p>y=10<\/p>\n\n\n\n<p>y \u0915\u093e \u092e\u093e\u0928 \u0938\u092e\u0940\u0915\u0930\u0923 (i) \u092e\u0947 \u0930\u0916\u0928\u0947 \u092a\u0930,<\/p>\n\n\n\n<p>3x-5y=7<\/p>\n\n\n\n<p>3x-5(10)=7<\/p>\n\n\n\n<p>3x=57<\/p>\n\n\n\n<p>$x=\\frac{57}{3}=19$<\/p>\n\n\n\n<p>\u2234\u0906\u092f\u0924 \u0915\u0940 \u0932\u0902\u092e\u094d\u092c\u093e\u0908=19 m<\/p>\n\n\n\n<p>\u0906\u092f\u0924 \u0915\u0940 \u091a\u094c\u0921\u093c\u093e\u0908=10 m<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-34\">Question 34<\/h4>\n\n\n\n<p>\u090f\u0915 \u0915\u092e\u0930\u0947 \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 , \u0907\u0938\u0915\u0940 \u091a\u094c\u0921\u093c\u093e\u0908 \u0938\u0947 3&nbsp; \u092e\u0940\u091f\u0930 \u0905\u0927\u093f\u0915 \u0939\u0948\u0964 \u092f\u0926\u093f \u0907\u0938\u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 3 \u092e\u0940 \u092c\u0922\u093c\u093e \u0926\u0940 \u091c\u093e\u092f \u0914\u0930 \u091a\u094c\u0921\u093c\u093e\u0908 2 \u092e\u0940 \u0918\u091f\u093e \u0926\u0940 \u091c\u093e\u092f \u0924\u094b \u0907\u0938\u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u092a\u0942\u0930\u094d\u0935\u0935\u0924 \u0930\u0939\u0924\u093e \u0939\u0948 \u0964 \u0915\u092e\u0930\u0947 \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 \u090f\u0935\u0902 \u091a\u094c\u0921\u093c\u093e\u0908 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0964<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u0915\u092e\u0930\u0947 \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908=x<\/p>\n\n\n\n<p>\u0915\u092e\u0930\u0947 \u0915\u0940 \u091a\u094c\u0921\u093c\u093e\u0908=y<\/p>\n\n\n\n<p>\u0915\u092e\u0930\u0947 \u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932=xy<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947 ,<\/p>\n\n\n\n<p>x-y=3..(i)<\/p>\n\n\n\n<p>(x+3)(y-2)=xy<\/p>\n\n\n\n<p>xy-2x+3y-6=xy<\/p>\n\n\n\n<p>-2x+3y=6..(ii)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-35\">Question 35<\/h4>\n\n\n\n<p>\u090f\u0915 \u0930\u093e\u091c\u092e\u093e\u0930\u094d\u0917 \u092a\u0930 \u0926\u094b \u0938\u094d\u0925\u093e\u0928 A \u0914\u0930 B 120 \u0915\u093f\u092e\u0940 \u0915\u0940 \u0926\u0942\u0930\u0940 \u092a\u0930 \u0939\u0948\u0964 \u090f\u0915 \u0915\u093e\u0930 A \u0938\u0947 \u0924\u0925\u093e \u0926\u0942\u0938\u0930\u0940 \u0915\u093e\u0930 B \u0938\u0947 \u090f\u0915 \u0939\u0940 \u0938\u092e\u092f \u091a\u0932\u0928\u093e \u092a\u094d\u0930\u093e\u0930\u0902\u092d \u0915\u0930\u0924\u0940 \u0939\u0948\u0964 \u092f\u0926\u093f \u0935\u0947 \u090f\u0916 \u0939\u0940 \u0926\u093f\u0936\u093e \u092e\u0947 \u091a\u0932\u0924\u0940 \u0939\u0948 \u0924\u094b 6 \u0918\u0902\u091f\u0947 \u092e\u0947 \u090f\u0915-\u0926\u0942\u0938\u0930\u0947 \u092e\u093f\u0932\u0924\u0940 \u0939\u0948 \u0914\u0930 \u0935\u093f\u092a\u0930\u0940\u091a \u0926\u093f\u0936\u093e \u092e\u0947 \u091a\u0932\u0928\u0947 \u092a\u0930 1 \u0918\u0902\u091f\u093e 12 \u092e\u093f\u0928\u091f \u092e\u0947 \u090f\u0915-\u0926\u0942\u0938\u0930\u0947 \u0938\u0947 \u092e\u093f\u0932\u0924\u0940 \u0939\u0948\u0964 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0915\u093e\u0930 \u0915\u0940 \u091a\u093e\u0932 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947 \u0964<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u0938\u094d\u0925\u093e\u0928 A \u091a\u0932\u093e\u0928\u0947 \u0935\u093e\u0932\u0940 \u0915\u093e\u0930 \u0915\u0940 \u091a\u093e\u0932=x km\/h<\/p>\n\n\n\n<p>\u0938\u094d\u0925\u093e\u0928 B \u091a\u0932\u093e\u0928\u0947 \u0935\u093e\u0932\u0940 \u0915\u093e\u0930 \u0915\u0940 \u091a\u093e\u0932=y km\/h<\/p>\n\n\n\n<p>\u091a\u093e\u0932=\u0926\u0942\u0930\u0940\/\u0938\u092e\u092f<\/p>\n\n\n\n<p>$x-y=\\frac{120}{6}$<\/p>\n\n\n\n<p>x-y=20..(i)<\/p>\n\n\n\n<p>\u0905\u092c, $x+y=\\frac{120}{1h~12min}$<\/p>\n\n\n\n<p>$x+y=\\frac{120}{\\frac{6}{5}}$<\/p>\n\n\n\n<p>$x+y=\\frac{12 0}{6} \\times 5$<\/p>\n\n\n\n<p>x+y=100..(ii)<\/p>\n\n\n\n<p>$\\begin{aligned}x-y&amp;=20\\\\x+y&amp;=100\\\\ \\hline 2x=120\\end{aligned}$<\/p>\n\n\n\n<p>x=60<\/p>\n\n\n\n<p>x \u0915\u093e \u092e\u093e\u0928 \u0938\u092e\u0940\u0915\u0930\u0923 (ii) \u092e\u0947 \u0930\u0916\u0928\u0947 \u092a\u0930,<\/p>\n\n\n\n<p>x+y=100<\/p>\n\n\n\n<p>60+y=100<\/p>\n\n\n\n<p>y=40<\/p>\n\n\n\n<p>\u2234\u0938\u094d\u0925\u093e\u0928 A \u0938\u0947 \u091a\u0932\u0928\u0947 \u0935\u093e\u0932\u0940 \u0915\u093e\u0930 \u0915\u0940 \u091a\u093e\u0932=60 km\/h<\/p>\n\n\n\n<p>x \u0915\u093e \u092e\u093e\u0928 \u0938\u092e\u0940\u0915\u0930\u0923 (ii) \u092e\u0947 \u0930\u0916\u0928\u0947 \u092a\u0930,<\/p>\n\n\n\n<p>x+y=100<\/p>\n\n\n\n<p>60+y=100<\/p>\n\n\n\n<p>y=40<\/p>\n\n\n\n<p>\u2234\u0938\u094d\u0925\u093e\u0928 A \u0938\u0947 \u091a\u0932\u0928\u0947 \u0935\u093e\u0932\u0940 \u0915\u093e\u0930 \u0915\u0940 \u091a\u093e\u0932=60 km\/h<\/p>\n\n\n\n<p>\u0938\u094d\u0925\u093e\u0928 B \u0938\u0947 \u091a\u0932\u0928\u0947 \u0935\u093e\u0932\u0940 \u0915\u093e\u0930 \u0915\u0940 \u091a\u093e\u0932=40 km\/h<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-36\">Question 36<\/h4>\n\n\n\n<p>\u090f\u0915 \u0930\u0947\u0932\u0917\u093e\u0921\u093c\u0940 300 \u0915\u093f\u092e\u0940 \u0915\u0940 \u0926\u0942\u0930\u0940 \u0938\u092e\u093e\u0928 \u091a\u093e\u0932 \u0938\u0947 \u0924\u092f \u0915\u0930\u0924\u0940 \u0939\u0948\u0964 \u092f\u0926\u093f \u0930\u0947\u0932\u0917\u093e\u0921\u093c\u0940 5 \u0915\u093f\u092e\u0940\/\u0918\u0902\u091f\u093e \u0905\u0927\u093f\u0915 \u0924\u0947\u091c \u091a\u0932\u0924\u0940 \u0939\u094b\u0924\u0940, \u0924\u094b \u092f\u093e\u0924\u094d\u0930\u093e 2 \u0918\u0902\u091f\u0947 \u0915\u092e \u0938\u092e\u092f \u0932\u0917\u0924\u093e\u0964 \u0917\u093e\u0921\u093c\u0940 \u0915\u0940 \u092a\u094d\u0930\u093e\u0930\u0902\u092d\u093f\u0915 \u091a\u093e\u0932 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0964<br>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u0930\u0947\u0932\u0917\u093e\u0921\u093c\u0940 \u0915\u0940 \u092a\u094d\u0930\u093e\u0930\u0902\u092d\u093f\u0915 \u091a\u093e\u0932= x km\/h<\/p>\n\n\n\n<p>\u0938\u092e\u092f=\u0926\u0942\u0930\u0940\/\u091a\u093e\u0932<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>$\\frac{300}{x}-\\frac{300}{x+5}=2$<\/p>\n\n\n\n<p>$\\frac{300(x+5)-300 x}{x(x+5)}=2$<\/p>\n\n\n\n<p>$\\frac{300 x+1500-300 x}{x^{2}+5 x}=2$<\/p>\n\n\n\n<p>2(x<sup>2<\/sup>+5x)=1500<\/p>\n\n\n\n<p>x<sup>2<\/sup>+5x=750<\/p>\n\n\n\n<p>x<sup>2<\/sup>+5x-750=0<\/p>\n\n\n\n<p>x<sup>2<\/sup>+30x-25x-750=0<\/p>\n\n\n\n<p>x(x+30)-25(x+30)=0<\/p>\n\n\n\n<p>(x+30)(x-25)=0<\/p>\n\n\n\n<p>$\\begin{array}{l|l}x+30=0&amp;x-25=0 \\\\ x=-30&amp;x=25\\end{array}$<\/p>\n\n\n\n<p>\u2235\u091a\u093e\u0932 \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964<\/p>\n\n\n\n<p>\u2234\u0930\u0947\u0932\u0917\u093e\u0921\u093c\u0940 \u0915\u0940 \u091a\u093e\u0932=25 km\/h<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-37\">Question 37<\/h4>\n\n\n\n<p>\u090f\u0915 \u0939\u0935\u093e\u0908 \u091c\u0939\u093e\u091c \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0938\u092e\u092f \u0938\u0947 30 \u092e\u093f\u0928\u091f \u0926\u0947\u0930 \u0938\u0947 \u091a\u0932\u0924\u0940 \u0939\u0948\u0964 \u0905\u092a\u0928\u0947 1500 \u0915\u093f\u092e\u0940 \u0926\u0942\u0930 \u0932\u0915\u094d\u0937\u094d\u092f \u0924\u0915 \u0920\u0940\u0915 \u0938\u092e\u092f \u092a\u0930 \u092a\u0939\u0941\u0901\u091a\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0907\u0938\u0947 \u0905\u092a\u0928\u0940 \u091a\u093e\u0932 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u091a\u093e\u0932 \u0938\u0947 250 \u0915\u093f\u092e\u0940\/\u0918\u0902\u091f\u093e \u092c\u0922\u093e\u0928\u0940 \u092a\u0921\u093c\u0924\u0940 \u0939\u0948\u0964 \u0939\u0935\u093e\u0908 \u091c\u0939\u093e\u091c \u0915\u0940 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u091a\u093e\u0932 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947 \u0964<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u0939\u0935\u093e\u0908 \u091c\u0939\u093e\u091c \u0915\u0940 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u091a\u093e\u0932= x km\/h<\/p>\n\n\n\n<p>\u0938\u092e\u092f=\u0926\u0942\u0930\u0940\/\u091a\u093e\u0932<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>$\\frac{1580}{x}-\\frac{1500}{x+250}=\\frac{30}{60}$<\/p>\n\n\n\n<p>$\\frac{1500 x+375000-1500 x}{x^{2}+250 x}=\\frac{1}{2}$<\/p>\n\n\n\n<p>x<sup>2<\/sup>+250x=750000<\/p>\n\n\n\n<p>x<sup>2<\/sup>+250x-750000=0<\/p>\n\n\n\n<p>x<sup>2<\/sup>+1000x-750x-750000=0<\/p>\n\n\n\n<p>x(x+1000)-750(x+1000)=0<\/p>\n\n\n\n<p>(x+1000)(x-750)=0<\/p>\n\n\n\n<p>$\\begin{array}{l|l}x+1000=0 &amp;x-750=0\\\\x=-1000 &amp; x=750\\end{array}$<\/p>\n\n\n\n<p>\u2235 \u091a\u093e\u0932 \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/p>\n\n\n\n<p>\u2234 \u0939\u0935\u093e\u0908 \u091c\u0939\u093e\u091c \u0915\u0940 \u091a\u093e\u0932=750 km\/h<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-38\">Question 38<\/h4>\n\n\n\n<p>\u090f\u0915 \u0906\u0926\u092e\u0940 600 \u0915\u093f\u092e\u0940 \u0915\u0940 \u092f\u093e\u0924\u094d\u0930\u093e \u0906\u0902\u0936\u093f\u0915 \u0930\u0947\u0932\u0917\u093e\u0921\u093c\u0940 \u0938\u0947 \u0914\u0930 \u0906\u0902\u0936\u093f\u0915 \u0915\u093e\u0930 \u0938\u0947 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0935\u0939 400 \u0915\u093f\u092e\u0940 \u0930\u0947\u0932\u0917\u093e\u0921\u093c\u0940 \u0938\u0947 \u0924\u0925\u093e \u0936\u0947\u0937 \u092f\u093e\u0924\u094d\u0930\u093e \u0915\u093e\u0930 \u0938\u0947 \u0915\u0930\u0924\u093e \u0939\u0948, \u0924\u092c \u0909\u0938\u0947 6 \u0918\u0902\u091f\u0947 30 \u092e\u093f\u0928\u091f \u0938\u092e\u092f \u0932\u0917\u0924\u093e \u0939\u0948\u0964 \u0915\u093f\u0928\u094d\u0924\u0941 \u092f\u0926\u093f \u0935\u0939 200 \u0915\u093f\u092e\u0940 \u0930\u0947\u0932\u0917\u093e\u0921\u093c\u0940 \u0938\u0947 \u0914\u0930 \u0936\u0947\u0937 \u0915\u093e\u0930 \u0938\u0947 \u092f\u093e\u0924\u094d\u0930\u093e \u0915\u0930\u0924\u093e \u0939\u0948, \u0924\u094b \u0909\u0938\u0947 \u0906\u0927\u093e \u0918\u0902\u091f\u093e \u0905\u0927\u093f\u0915 \u0938\u092e\u092f \u0932\u0917\u0924\u093e \u0939\u0948\u0964 \u0930\u0947\u0932\u0917\u093e\u0921\u093c\u0940 \u090f\u0935\u0902 \u0915\u093e\u0930 \u0915\u0940 \u091a\u093e\u0932 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0964<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u0930\u0947\u0932\u0917\u093e\u0921\u093c\u0940 \u0915\u0940 \u091a\u093e\u0932=x km\/h<\/p>\n\n\n\n<p>\u0915\u093e\u0930 \u0915\u0940 \u091a\u093e\u0932= y km\/h<\/p>\n\n\n\n<p>\u0938\u092e\u092f=\u0926\u0942\u0930\u0940\/\u091a\u093e\u0932<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>$\\frac{400}{x}+\\frac{200}{y}=6 \\frac{30}{60}$<\/p>\n\n\n\n<p>$\\frac{400}{x}+\\frac{200}{y}=\\frac{13}{2}$..(i)<\/p>\n\n\n\n<p>$\\frac{200}{x}+\\frac{400}{y}=7$..(ii)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-39\">Question 39<\/h4>\n\n\n\n<p>\u090f\u0915 \u0930\u093e\u091c\u092e\u093e\u0930\u094d\u0917 \u092a\u0930 \u0926\u094b \u0938\u094d\u0920\u093e\u0928 A \u0914\u0930 B \u090f\u0915-\u0926\u0942\u0938\u0930\u0947 \u0938\u0947 80 \u0915\u0940 \u0926\u0942\u0930\u0940 \u092a\u0930 \u0939\u0948\u0964 \u090f\u0915 \u0915\u093e\u0930 A \u0938\u0947 \u0924\u0925\u093e \u0926\u0942\u0938\u0930\u0940 \u0915\u093e\u0930 B \u0938\u0947 \u090f\u0915 \u0939\u0940 \u0938\u092e\u092f \u091a\u0932\u0928\u093e \u0936\u0941\u0930\u0942 \u0915\u0930\u0924\u0940 \u0939\u0948, \u092f\u0926\u093f \u0935\u0947 \u090f\u0915 \u0939\u0940 \u0926\u093f\u0936\u093e \u092e\u0947 \u091a\u0932\u0924\u0940 \u0939\u0948 ,\u0924\u092c \u0935\u0947 8 \u0918\u0902\u091f\u0947 \u092a\u0936\u094d\u091a\u093e\u0924 \u090f\u0915-\u0926\u0942\u0938\u0930\u0947 \u0938\u0947 \u092e\u093f\u0932\u0924\u0947 \u0939\u0948 \u0914\u0930 \u092f\u0926\u093f \u0935\u0947 \u0935\u093f\u092a\u0930\u0940\u0924 \u0926\u093f\u0936\u093e \u092e\u0947 \u091a\u0932\u0924\u0947 \u0939\u0948 \u0924\u092c \u0935\u0947 1 \u0918\u0902\u091f\u093e 20 \u092e\u093f\u0928\u091f \u092e\u0947 \u0939\u0940 \u091c\u093e\u0924\u0947 \u0939\u0948\u0964 \u0924\u094b \u0915\u093e\u0930\u094b \u0915\u0940 \u091a\u093e\u0932 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0964<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u0938\u094d\u0925\u093e\u0928 A \u0938\u0947 \u091a\u0932\u0928\u0947 \u0935\u093e\u0932\u0940 \u0915\u093e\u0930 \u0915\u0940 \u091a\u093e\u0932=x km\/h<\/p>\n\n\n\n<p>\u0938\u094d\u0925\u093e\u0928 B \u0938\u0947 \u091a\u0932\u0928\u0947 \u0935\u093e\u0932\u0940 \u0915\u093e\u0930 \u0915\u0940 \u091a\u093e\u0932= y km\/h<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>\u091a\u093e\u0932=\u0926\u0942\u0930\u0940\/\u0938\u092e\u092f<\/p>\n\n\n\n<p>$x-y=\\frac{80}{8}$<\/p>\n\n\n\n<p>x-y=10..(i)<\/p>\n\n\n\n<p>\u0905\u092c,&nbsp;<\/p>\n\n\n\n<p>$x+y=\\frac{80}{\\frac{20}{60}}=\\frac{80}{\\frac{4}{3}}$<\/p>\n\n\n\n<p>$x+y=\\frac{80}{4} \\times 3$<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-40\">Question 40<\/h4>\n\n\n\n<p>\u090f\u0915 \u0928\u093e\u0935 \u0927\u093e\u0930\u093e \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u0915\u0942\u0932 16 \u0915\u093f\u092e\u0940 \u0924\u0925\u093e \u0927\u093e\u0930\u093e \u0915\u0947 \u0905\u0928\u0941\u0915\u0942\u0932 24 \u0915\u093f\u092e\u0940 6 \u0918\u0902\u091f\u0947 \u092e\u0947 \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0914\u0930 \u092f\u0939 \u0928\u093e\u0935 \u0927\u093e\u0930\u093e \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u0915\u0942\u0932 12 \u0915\u093f\u092e\u0940 \u0924\u0925\u093e \u0927\u093e\u0930\u093e \u0915\u0947 \u0905\u0928\u0941\u0915\u0942\u0932 36 \u0915\u093f\u092e\u0940 \u0915\u0940 \u0926\u0942\u0930\u0940 \u092d\u0940 \u0909\u0924\u0928\u0947 \u0939\u0940 \u0938\u092e\u092f \u092e\u0947 \u0924\u092f \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0924\u092c \u0936\u093e\u0902\u0924 \u091c\u0932 \u092e\u0947 \u0928\u093e\u0935 \u0915\u0940 \u091a\u093e\u0932 \u0924\u0925\u093e \u0927\u093e\u0930\u094b \u0915\u0940 \u091a\u093e\u0932 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947 \u0964<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u0936\u093e\u0902\u0924 \u091c\u0932 \u092e\u0947 \u0928\u093e\u0935 \u0915\u0940 \u091a\u093e\u0932=x km\/h<\/p>\n\n\n\n<p>\u0927\u093e\u0930\u093e \u0915\u0940 \u091a\u093e\u0932=y km\/h<\/p>\n\n\n\n<p>\u0927\u093e\u0930\u093e \u0915\u0947 \u0905\u0928\u0941\u0915\u0942\u0932 \u0928\u093e\u0935 \u0915\u0940 \u091a\u093e\u0932=(x+y)km\/h<\/p>\n\n\n\n<p>\u0927\u093e\u0930\u093e \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u0915\u0942\u0932 \u0928\u093e\u0935 \u0915\u0940 \u091a\u093e\u0932=(x-y)km\/h<\/p>\n\n\n\n<p>\u0938\u092e\u092f=\u0926\u0942\u0930\u0940\/\u091a\u093e\u0932<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947 ,<\/p>\n\n\n\n<p>$\\frac{16}{x-y}+\\frac{24}{x+y}=6$..(i)<\/p>\n\n\n\n<p>$\\frac{12}{x-y}+\\frac{36}{x+y}=6$..(ii)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-41\">Question 41<\/h4>\n\n\n\n<p>\u090f\u0915 \u0906\u0926\u092e\u0940 370km \u0915\u0940 \u092f\u093e\u0924\u094d\u0930\u093e \u0906\u0902\u0936\u093f\u0915 \u0930\u0942\u092a \u091f\u094d\u0930\u0947\u0928 \u0938\u0947 \u0914\u0930 \u0906\u0902\u0936\u093f\u0915 \u0915\u093e\u0930 \u0938\u0947 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u0935\u0939 250km \u091f\u094d\u0930\u0947\u0928 \u0938\u0947 \u0924\u0925\u093e \u0936\u0947\u0937 \u0915\u093e\u0930 \u0938\u0947 \u0915\u0930\u0924\u093e \u0939\u0948 \u0924\u092c \u0909\u0938\u0947 4 \u0918\u0902\u091f\u0947 \u0932\u0917\u0924\u093e \u0939\u0948\u0964 \u0915\u093f\u0928\u094d\u0924\u0941 \u092f\u0926\u093f \u0935\u0939 130 km \u091f\u094d\u0930\u0947\u0928 \u0938\u0947 \u0924\u0925\u093e \u0936\u0947\u0937 \u0915\u093e\u0930 \u0938\u0947 \u0915\u0930\u0924\u093e \u0939\u0948, \u0924\u092c \u0909\u0938\u0947 18 \u092e\u093f\u0928\u091f \u0905\u0927\u093f\u0915 \u0932\u0917\u0924\u093e \u0939\u0948\u0964 \u0924\u092c \u091f\u094d\u0930\u0947\u0928 \u0914\u0930 \u0915\u093e\u0930 \u0915\u0940 \u091a\u093e\u0932 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0964<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>\u092e\u093e\u0928\u093e \u091f\u094d\u0930\u0947\u0928 \u0915\u0940 \u091a\u093e\u0932=x km\/h<\/p>\n\n\n\n<p>\u0915\u093e\u0930 \u0915\u0940 \u091a\u093e\u0932=y km\/h<\/p>\n\n\n\n<p>\u0938\u092e\u092f=\u0926\u0942\u0930\u0940\/\u091a\u093e\u0932<\/p>\n\n\n\n<p>\u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947,<\/p>\n\n\n\n<p>$\\frac{250}{x}+\\frac{120}{y}=4$..(i)<\/p>\n\n\n\n<p>$\\frac{130}{x}+\\frac{240}{y}=4 \\frac{18}{10}$<\/p>\n\n\n\n<p>$\\frac{130}{x}+\\frac{240}{y}=\\frac{43}{10}$..(ii)<\/p>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-primary-background-color has-background wp-element-button\" href=\"https:\/\/www.indcareer.com\/schools\/kc-sinha-solutions\/\">KC Sinha Solutions<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-primary-background-color has-background wp-element-button\" href=\"https:\/\/www.indcareer.com\/schools\/kc-sinha-solution-for-class-10-hindi\/\">KC Sinha Class 10 Solutions<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Question 1 \u0926\u094b \u0938\u0902\u0916\u094d\u092f\u093e\u0913 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 5:6 \u0939\u0948\u0964 \u092f\u0926\u093f \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 8 \u0918\u091f\u093e \u0932\u093f\u092f\u093e \u091c\u093e\u092f \u0924\u094b \u0909\u0928\u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 4:5 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0964 Sol : \u092e\u093e\u0928\u093e \u092a\u0939\u0932\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=x \u0926\u0942\u0938\u0930\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=y \u092a\u094d\u0930\u0936\u094d\u0928 \u0938\u0947, $\\frac{x}{y}=\\frac{5}{6}$ 6x=5y 6x-5y=0..(i) $\\frac{x-8}{y-8}=\\frac{4}{5}$ 5x-40=4y-32 5x-4y=-32+40 5x-4y=8..(ii)\u00d75 \u0938\u092e\u0940\u0915\u0930\u0923 (i) \u0924\u0925\u093e (ii) \u0938\u0947, $\\begin{aligned}24x-20y&amp;=0\\\\25x-20y&amp;=40\\\\-\\phantom{25x}+\\phantom{20y}&amp;\\phantom{=}-\\phantom{40} \\\\ \\hline -x&amp;=-40\\end{aligned}$ x \u0915\u093e \u092e\u093e\u0928 \u0938\u092e\u0940\u0915\u0930\u0923 [&hellip;]<\/p>\n","protected":false},"author":302,"featured_media":625663,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"newspack_featured_image_position":"","newspack_post_subtitle":"","newspack_article_summary_title":"Overview:","newspack_article_summary":"","newspack_hide_updated_date":false,"newspack_show_updated_date":false,"footnotes":""},"categories":[24],"tags":[],"boards":[],"class_list":["post-625666","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-class-10","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.0 (Yoast SEO v27.1.1) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>KC Sinha: Exercise 3.5 - Mathematics Solution Class 10 Chapter 3 \u0926\u094b \u091a\u0930 \u0935\u093e\u0932\u0947 \u0930\u0948\u0916\u093f\u0915 \u0938\u092e\u0940\u0915\u0930\u0923 - IndCareer Schools<\/title>\n<meta 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\u0938\u0902\u0916\u094d\u092f\u093e=x\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-3-5-mathematics-solution-class-10-chapter-3-do-char-wale-raikhik-samikaran\/\" \/>\n<meta property=\"og:site_name\" content=\"IndCareer Schools\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/indcareer\" \/>\n<meta property=\"article:published_time\" content=\"2023-09-07T12:07:40+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-09-07T12:07:46+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/09\/indcareer-schools-2-4-1-scaled.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1600\" \/>\n\t<meta property=\"og:image:height\" content=\"901\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Pooja\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta 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Solution Class 10 Chapter 3 \u0926\u094b \u091a\u0930 \u0935\u093e\u0932\u0947 \u0930\u0948\u0916\u093f\u0915 \u0938\u092e\u0940\u0915\u0930\u0923\",\"datePublished\":\"2023-09-07T12:07:40+00:00\",\"dateModified\":\"2023-09-07T12:07:46+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-3-5-mathematics-solution-class-10-chapter-3-do-char-wale-raikhik-samikaran\/\"},\"wordCount\":1672,\"publisher\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/#organization\"},\"image\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-3-5-mathematics-solution-class-10-chapter-3-do-char-wale-raikhik-samikaran\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/09\/indcareer-schools-2-4-1-scaled.jpg\",\"articleSection\":[\"Class 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\u0938\u0902\u0916\u094d\u092f\u093e=x","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-3-5-mathematics-solution-class-10-chapter-3-do-char-wale-raikhik-samikaran\/","og_locale":"en_US","og_type":"article","og_title":"KC Sinha: Exercise 3.5 - Mathematics Solution Class 10 Chapter 3 \u0926\u094b \u091a\u0930 \u0935\u093e\u0932\u0947 \u0930\u0948\u0916\u093f\u0915 \u0938\u092e\u0940\u0915\u0930\u0923","og_description":"Question 1 \u0926\u094b \u0938\u0902\u0916\u094d\u092f\u093e\u0913 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 5:6 \u0939\u0948\u0964 \u092f\u0926\u093f \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 8 \u0918\u091f\u093e \u0932\u093f\u092f\u093e \u091c\u093e\u092f \u0924\u094b \u0909\u0928\u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 4:5 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0964 Sol : \u092e\u093e\u0928\u093e \u092a\u0939\u0932\u0940 \u0938\u0902\u0916\u094d\u092f\u093e=x","og_url":"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-3-5-mathematics-solution-class-10-chapter-3-do-char-wale-raikhik-samikaran\/","og_site_name":"IndCareer Schools","article_publisher":"https:\/\/www.facebook.com\/indcareer","article_published_time":"2023-09-07T12:07:40+00:00","article_modified_time":"2023-09-07T12:07:46+00:00","og_image":[{"width":1600,"height":901,"url":"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/09\/indcareer-schools-2-4-1-scaled.jpg","type":"image\/jpeg"}],"author":"Pooja","twitter_card":"summary_large_image","twitter_creator":"@indcareer","twitter_site":"@indcareer","twitter_misc":{"Written by":"Pooja","Est. reading time":"13 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\u0909\u0928\u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 4:5 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0964 Sol : \u092e\u093e\u0928\u093e \u092a\u0939\u0932\u0940 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