Question

A father said to his son,"I was as old as you are at present at the time of your birth". If the father's age is 38years now, the son's age five years back was?

Answer 1

Let us assume that when son was born, father's age was x years and son's age was 0 years.

Now, according to father:-

Son's age is x years, which means that father has also grown x years.Now he is 2x years old.

Father is now x years older than his son.

Father's present age=38 years.

ATQ:-

38-x=x

38=x+x

38=2x

38/2=x

19=x

So the present age of son is 19 years.

His age five years back was (19-5) years
=14 years.