# John's present age to Andrew's present age is 3:1. In 6 years time, the ratio of John's age to Andrew's age will be 5:2. What is John's present age?

May 21, 2015

Call x the present age of John, and y, age of Andrew
We have 2 equations

(1) x = 3y

(2) $\left(x + 6\right) = \left(\frac{5}{2}\right) \left(y + 6\right) \to 2 \left(3 y + 6\right) = 5 \left(y + 6\right)$ ->

Present age of Andrew: $y = 30 - 12 = 18$

Present age of John: $x = 3 y = 54$