The ratio of the present ages of Mahesh and Ajay is respectively `3:2`.After 8 years, ratio of their ages will be `11:8`, What will be the present age of Mahesh's son if his age is half of the present age of Ajay ?

Options

A. 12 years
B. 24 years
C. 18 years
D. 9 years

Answer

A

Explanation

Let present ages of of Mahesh and Ajay is `3x and 2x` respectively.
According to question,
`(3x+8)/(2x+8)=(11)/(8)`
`rArr 24x+64=22x +88`
`rArr 2x=24`
`rArr x=12`
Present age of Ajay is `2xx 12=24 years`
Present age of Mahesh's son ` =(24)/(2)=12 years`