the ratio of age of Rohit 9 years hence and that of Priya 5 years hence is 5:4. The age of Rohit 5 years hence is equal to the age of Priya 8 years hence. Then, find the present age of Rohit.

Options

A. 37 yr
B. 26 yr
C. 30 yr
D. 24 yr

Answer

B

Explanation

Let present age of Rohit & Priya be x year & y year respectively
`therefore ` ATQ
`(x+9)/(y+9)=(5)/(4)`
`4x+36=5y+25`
`5y-4x=11" "…(i)`
`x+5=y+8`
`-y+x=3" "…(ii)`
`therefore x=26` years
`therefore ` persent age of Rohit is 26 years