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Arithmetic Aptitude :: Problems on Ages

3. The sum of the ages of a mother and her son is 45 years. Five years ago, the product of their ages was 3 times the mother age at that time, then the present age of the son,

Answer: Option A

Explanation :

Let's assume mother age = x years. ----- (1)
sum of mother and her son age = 45
so son age will be = (45-x) years. ------- (2)

Five year ago:
mother age will be = (x-5) years
son age will be = (45-x-x) years = (40-x) year.

As per question
(x-5) * (40-x) = 3*(x-5)
=> (40-x) = 3
=> x = 37 year.
so son age will be (45-37) = 8 years.

Asked In :: Global Edge

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