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,
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.