Rahim and his uncle differ in their ages by 30 yr. After 7 yr, if the sum of their ages is 66, what will be the age of the uncle?

Options

A. a. 51 yr
B. b. 49 yr
C. c. 39 yr
D. d. 41 yr

Answer

D

Explanation

Let age of Rahim = `xyr`
and age of Rahim.s uncle = `y yr `
According to the question, `y-x = 30 " " .......(i)`
Now, after 7 yr
`(x + 7) + (y + 7) = 66 `
`implies x + y + 14 = 66`
`implies x + y = 52" " ....(ii)`
On adding Eqs. (i) and (ii), we get
`2y = 82 implies y = 41 yr `
So, the age of Rahim.s uncle = `41 yr `