Question
The sum of the present ages of a son and his father is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, what will be son's age?
A. 22 years
B. 23 years
C. 20 years
D. 21 years
Answer: C. 20 years
Solution:
Let the present age of the son = x
Then, present age of the father = ( 60 − x )
Six years ago father’s age was 5 times the age of the son
⇒ ( 60 − x ) − 6 = 5 ( x − 6 )
⇒ 84 = 6x
⇒ x = 84 / 6 = 14
Son’s age after 6 years = x + 6
= 14 + 6
= 20
Hence, The Son’s age after 6 years is 20 years.