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The difference of the squares is of two numbers is 80% of the sum of their squares. The ratio of the larger number to the smaller number is (a) 5 : 2 (b) 2 : 5 (c) 3 : 1 (d) 1 : 3 |
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Answer» (c) 3 : 1 Let the two numbers be x and y. Then, x2 - y2 = 80% of (x2 + y2) \(\Rightarrow\) x2 - y2 = \(\frac{4}{5}\)(x2 + y2) \(\Rightarrow\) x2 - \(\frac{4}{5}\)x2 = \(\frac{4}{5}\) y2 + y2 \(\Rightarrow\)\(\frac{1}{5}\)x2 = \(\frac{9}{5}\)y2 \(\Rightarrow\) \(\frac{X^2}{y^2}\) = \(\frac{9}{1}\) \(\Rightarrow\) \(\frac{X}{y}\)= \(\frac{3}{1}\) \(\Rightarrow\) x:y = 3:1 |
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