Question 6

The ages of x and y are in the ratio 3:1. Fifteen years hence, the ratio will be 2:1. The present ages (in years) are:

Solution

Let the present ages of x and y be $$3x$$ and $$x$$

The ratio between the ages of x and y after 15 years will be 2:1

$$\Rightarrow \frac{3x + 15}{x + 15} = \frac{2}{1}$$

$$\Rightarrow 3x + 15 = 2x + 30$$

$$\Rightarrow x = 15$$

$$\therefore$$ Present ages of x and y are 45 and 15 respectively.

Hence, option B is the correct answer.

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