# The ratio of the present ages of P and Q is 5 : 7 respectively. If the difference between Q`s present age and P’s age after 6 years is 2, what is the total of P’s and Q’s present ages ?

$\par&space;Let&space;the&space;present&space;ages&space;of&space;P&space;and&space;Q&space;be&space;5x&space;years&space;and&space;7x&space;years&space;respectively.$

$\par&space;Then,&space;7x&space;-&space;(5x&space;+&space;6)&space;=&space;2$

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

$x&space;=&space;4$

$\par&space;Required&space;sum&space;=&space;5x&space;+&space;7x&space;=&space;12x&space;=&space;48&space;years$