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?

Answer 1

Suppose present age of father is f and son is s;
f+s=60; given. eq. 2
(f-6)=5(s-6);
f-6=5s-30; eq. 1
by solving eq. 1 and eq. 2
f+s=60;
f-5s=-24; we get s=14;
f=46;
after 6 years the age of sin will be=14+6=20 years

Answer 2

Let present age of son and father is x and (60 – x ) years, Then,

( 60 – x ) – 6 = 5 (x – 6 )

54 – x = 5x – 30

6x = 84

x = 14 years.

Son’s age after six years is ( x + 6 ) = 14 + 6 = 20 years.