Question

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

a. 19 years

b. 33 years

c. 38 years

d. 14 years

Answer 1

Present age of father = 38

Let us check son's age 5 years back as 14.

Son's present age = 38/2 = 19

19 years back father = 19

Son = 0

5 years back son's age  = 19 - 5 = 14

If we took 19years for son before 5years son's present age will be 19+5 = 24 that means father shoould be 24years during his birth (38 - 24 = 14) not true

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.