Present ages of X and Y are in the ratio 5:6 respectively. Seven years hence this ratio will become 6:7 respectively. What is X's present age is years?

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Solution

The correct option is A
35

Let the present ages of X and Y be 5x years and 6x years respectively

Then $\frac{5 x + 35}{6 x + 35} = \frac{6}{7} \Leftrightarrow 7 (5 x + 35) = 6 (6 x + 35) \Leftrightarrow x = 35$

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Present ages of X and Y are in the ratio 5:6 respectively. Seven years hence this ratio will become 6:7 respectively. What is X's present age is years?

The correct option is A 35 Let the present ages of X and Y be 5x years and 6x years respectively Then 5x+356x+35=67⇔7(5x+35)=6(6x+35)⇔x=35

The correct option is A
35

Let the present ages of X and Y be 5x years and 6x years respectively

Then $\frac{5 x + 35}{6 x + 35} = \frac{6}{7} \Leftrightarrow 7 (5 x + 35) = 6 (6 x + 35) \Leftrightarrow x = 35$