Question

the ages of a father and his son are in the ratio 10:3. if the son is 15 years now, how many years will the ratio of their ages be 2:1?​

Answer 1

20 years

Explanation:

let the present age of father=x

`(x)/(15) =(10)/(3) \\x=(10)/(3) * 15=50 \\`

present age of father=50 years

let after y years ages are in the ratio 2:1

`(50+y)/(15+y) =(2)/(1)`

50+y=2(15+y)

50+y=30+2y

50-30=2y-y

20=y