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Daya is 5 times as old as his son. Six years hence the sum of their ages will be 72 years. What is the present age of Daya's son?
Question

Daya is 5 times as old as his son. Six years hence the sum of their ages will be 72 years. What is the present age of Daya's son?

A.

13 years

B.

10 years

C.

8 years

D.

5 years

Correct option is B

Given:

Daya is 5 times as old as his son.

Six years hence, the sum of their ages will be 72 years.

Solution:

Let the present age of Daya's son be x years.

Therefore, Daya's present age is 5x years (since Daya is 5 times as old as his son).

In 6 years:

Daya's age will be 5x + 6.

His son's age will be x + 6.

In 6 years, the sum of their ages will be 72 years. So:

(5x + 6) + (x + 6) = 72

5x + x + 6 + 6 = 72

6x + 12 = 72

6x = 60

x = 10

So, the present age of Daya's son is 10 years.

Thus the correct option is (b)  10 years

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