Question

A mother is three times as old as her son. After 15 years she will be twice as old as her son. What is the present age of mother?

Answer 1

Hint: In present time mother’s age is three times the son's age. We have to form equations basic on given data. We can get answers after solving those equations.

Complete step-by-step answer:
Let the son's age now be $$x$$ years.
Then, Mother's age now = $$3x$$years.
After 15 years, son's age = $$x + 15$$years
Mother's age = $$3x + 15$$years
Given, $$3x + 15$$= $$2(x + 15)$$
⇒ $$3x + 15$$ = $$2x + 30$$
⇒ $$3x - 2x$$= $$30 - 15$$
⇒ $$x = 15$$
Son's age now =15 yrs. and Mother's age now =(3*15=45) yrs.

Note: In these types of questions always try to take present value as x or y then according to question statement form equations.