Question

A father said to his son, "your age now is the same as my age at the time of your birth" if the father's age is 38 years now, the son's age five years back was

Answer 1

let son's current age be x

when son's was born father's age was x years

father's age today is 38

father's age when son was born + son's current age = 38

so, x + x = 38

2x = 38

x = 38/2 = 19 years

so, son's age today is 19 years.

son's age 5 years back was 19 - 5 = 14 years.

Answer 2

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.