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?​

Respuesta :

Answer:

20 years

Step-by-step explanation:

let the present age of father=x

[tex]\frac{x}{15} =\frac{10}{3} \\x=\frac{10}{3} \times 15=50 \\[/tex]

present age of father=50 years

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

[tex]\frac{50+y}{15+y} =\frac{2}{1}[/tex]

50+y=2(15+y)

50+y=30+2y

50-30=2y-y

20=y