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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?

Question:
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 = 2 x years.
5
2 x + 8 = 1 (x + 8)
5 2

2(2x + 40) = 5(x + 8)

x = 40.