Question

Before 6 years father's age was five times that of the son. After four years father's age will be three bmes that of the son. After how many years father's age will be twice that of the son ?
(1) 40 years
(2) 24 years
(3) 16 years
(4) 36 years

Answer 1

let father's present age=x yrs
son's present age=y yrs
x-6=5(y-6)
5y-x=24...(1)
x+4=3(y+4)
3y-x=-8...(2)
from eq 1 & 2
2y=32
y=16 yrs
x=56 yrs
x+t=2(y+t)
56+t=2(16+t)
t=24 yrs
After 24 years father's age will be twice that of the son