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Problems on Ages

Q1:

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

ANS:C - 40 years

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.



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