# 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 ?

$\par&space;Let&space;the&space;present&space;ages&space;of&space;A&space;and&space;B&space;be&space;5x&space;and&space;3x&space;years&space;respectively.$

$\frac{5x&space;-&space;4}{3x&space;+&space;4}&space;=&space;\frac{1}{1}$

$5x&space;-&space;4&space;=&space;3x&space;+&space;4$

$2x&space;=&space;8$

$x&space;=&space;4$

$\par&space;Required&space;ratio&space;=&space;(5x&space;+&space;4)&space;:&space;(3x&space;-&space;4)&space;=&space;24&space;:&space;8&space;=&space;3&space;:&space;1$