Sonu is $19$ years younger than his cousin. After $5$ years, their ages will be in the ratio $2 : 3$ . Find their present ages.

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Solution

$C o u s i n = y S o n u = y - 19 A f t e r 5 y e a r s C o u s i n = y + 5 S o n u = y - 19 + 5 = y - 14 \frac{s}{c} = \frac{2}{3} \frac{y - 14}{y + 5} = \frac{2}{3} 3 y - 42 = 3 y + 10 3 y - 2 y = 42 + 10 y = 52 y - 19 = 52 - 19 = 33 C o u s i n = 52 S o n u = 33$

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