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A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?

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1. 

A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?

[A]. 32 years
[B]. 36 years
[C]. 40 years
[D]. 48 years

Answer: Option C

Explanation:

Let the mother's present age be x years.

Then, the person's present age = 1-sym-oparen-h1 2 x 1-sym-cparen-h1 years.
5
1-sym-oparen-h1 2 x + 8 1-sym-cparen-h1 = 1 (x + 8)
5 2

 2(2x + 40) = 5(x + 8)

 x = 40.

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