Raju is 19 years younger than his cousin. After 5 years, their ages will be in the ratio 2:3. The present age of Raju’s cousin is ____ years.

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Detailed Solution

Raju is 19 years younger than his cousin. After 5 years, their ages will be in the ratio 2:3. The present age of Raju’s cousin is 52 years.
Assume, the present age of Raju and his cousin be

x − 19

years and

x

years, respectively.
Apply the condition.

x − 19 + 5 x + 5 = 23 ⇒ 3 x − 14 = 2 x + 10 ⇒ 3 x − 42 = 2 x + 10 ⇒ x = 52

Hence, the age of Raju’s cousin is 52 years.

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