The present age of Pratik and Arjun are in the ratio 2 : 3. After 4 years, the ratio of their ages will be 4 : 5. The present age of Pratik would be
___ years.

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Solution

Let the present age of Pratik be 2x and Arjun be 3x.

4 years from now, Pratik 's age = 2x + 4 and Arjun 's age = 3x + 4

Given that, $\frac{2 x + 4}{3 x + 4} = \frac{4}{5}$

$⟹ 10 x + 20 = 12 x + 16$

Thus, $2 x = 4 ⟹ x = 2$

Pratik's present age is $2 x = 4$ .

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