Rajan is younger than his father by 20 yr. 5yr ago his father was 3 times elder than him. Find the present age of his father.

Options

A. a. 25 yr
B. b. 30 yr
C. c. 35 yr
D. d. 36 yr

Answer

C

Explanation

Let age of Rajan = `x yr`
and age of his father = `y yr `
According to the question,
`x + 20 = y " " .......(i)`
Now, 5 yr ago
`3(x - 5) = (y-5)`
`implies 3x - 15 = y - 5`
`implies 3x - y = 10 " " ...(ii)`
On putting the value of y from Eq. (i) in Eg (ii) we get
`2x = 30`
`implies x = 15 yr`
On putting the value of x in Eq. (i). we get
`y = 35 yr `
So, the age of Rajan.s father = 35 yr