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If the difference of two numbers is 5 and the difference of their squares is 95, then the larger number is

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answer is D.

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Detailed Solution

$x - y = 5$

$x^{2} - y^{2} = 95$

$(x + y) (x - y) = 95$

$\Rightarrow x + y = 19$

$\underline{x - y = 5}$

$2 x = 24 \Rightarrow x = 12, y = 7$

Larger No. x = 12

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