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Question

A man is 42 years old and his son is 12 years old.In how many
years will the age of the son be half the age of the man at that time.

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Solution

The father is 42 years and the son 12, now.

In x years father’s age will be twice that of his son. So

42 + x = 2(12+x) or

42 + x = 24 + 2x, or

18 = x. So in 18 years the father becomes 42+18 = 60 years while the son would be 12+18 = 30 and so half the age of the father.

Answer = 18 years.


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