The ratio between the present ages of A and B is 5:3 respectively. The ratio between A's age 4 years ago and B's age 4 years hence is 1:1. What is the ratio between A's, age 4 years hence and B's age 4 years ago ?

Options

A. `1:3`
B. `2:1`
C. `3:1`
D. `4:1`

Answer

C

Explanation

Let the present ages of A and B be 5x yr and 3x yr, respectively.
Now,`(5x - 4)/(3x + 4) = 1/1`
`implies 5x - 4 = 3x + 4`
`implies 2x = 8`
`implies x = 4`
`therefore` Required ratio = `((5 xx 4 + 4))/((3 xx 4 - 4)) = 24/8 = 3:1`