SSC Sample Paper Mock Test-11 SSC CGL Tear-II Paper-1

The sum of the ages of a father and his son is 100 yr now. 5 yr ago, their ages were in the ratio of 2 : 1. The ratio of the ages of father and son after 10 yr will be

A) 5 : 3

B) 4 : 3

C) 10 : 7

D) 3 : 5

Correct Answer: A

Solution :

5 yr ago, the age of father = 2x years (let)

Age of son = x years

\[\therefore \] \[2x+5+x+5=100\]

\[\Rightarrow \] \[3x=100-10=90\]

\[\Rightarrow \] \[x=\frac{90}{3}=30\]

\[\therefore \]Father's present age \[=2x+5=60+5=65\,\,\text{yr}\]

Son's present age \[=x+5=30+5=35\,\,\text{yr}\]

After 10 yr,

Ratio \[=\frac{65+10}{35+10}=\frac{75}{45}=\frac{5}{3}=5:3\]