Question

a boy is one-fifth of his father's age.In three years time the sum of the boy and his father's age will be 72. How old are they now ?

Answer 1

Answer:

The age of Father = 60 years

The age of Son = $\frac{1}{5}$(60) =  12 years

Step-by-step explanation:

Son is one fifth as old as his father so

Suppose,

The age of Son = S and the age of Father = F

∴  ($\frac{1}{5}$)F = S

Age of Son  + Age of Father = 72

Lets solve for F value:

($\frac{1}{5}$)F + F = 72

$\frac{F + 5F}{5} = 72$

6 F = 5 * 72

   F = $\frac{5 * 72}{6}$

  F = 60 years

Answer:-

The age of Father = 60 years

The age of Son = 1/5(60) =  12 years