Three times a number is equal to two times of the other. Find the ratio of 3 times the sum and 5 times the difference of the two numbers.

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answer is D.

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Detailed Solution

Let two numbers x & y

$\begin{array}{l} 3 x = 2 y \\ x = \frac{2}{3} y \\ ∴ \frac{3 (x + y)}{5 (x - y)} = \frac{3 (\frac{2}{3} y + y)}{5 (\frac{2}{3} y - y)} = \frac{3 (\frac{5}{y})}{5 (- y)} = \frac{3 (\frac{5 y}{3})}{5 (\frac{- y}{3})} \\ = 3 \end{array}$

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