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Question

The present age of Aman's mother is three times the present age of Aman. After nine years, sum of their ages will be 70 years. Find the present age of Aman and his mother.

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Solution

Let Aman's present age be 'x' years.

Then his mother's present age = 3x

After 9 years, their ages are x + 9 and 3x + 9

Given that,

(x + 9) + (3x + 9) = 70

⇒ 4x + 18 = 70

⇒ 4x = 52

⇒ x = 13

Thus, Aman's present age is 13 years and his mother's age is 3 times 13 = 39 years.

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