Question

the ratio of the ages of father and son at present is 6 : 1. after 5 years, the ratio will become 7 : 2. the present age of the son is :

Answer 1

Father = 30 years

Son = 5 years

Explanation:

Let the present age of father be x and the age of son be y.

According to the question,

• x:y = 6:1
• x/y = 6/1
• x = 6y (eqn(1))

Also given after five years,

• (x+5)/(y+5) = 7/2

2x + 10 = 7y +35(Cross multiply)

• 2x - 7y = 25

Put the value of x from eqn 1:

• 2(6y) - 7y = 25
• 12y - 7y = 25
• 5y = 25
• y = 5

From eqn 1,

• x = 6y
• x = 6*5 = 30 years

Hence,the present age of father is 30 years and of son is 5 years.