The ratio of present ages of two brothers is 1 : 2 and 5 years back, the ratio was 1 : 3. What will be the ratio of their ages after 5 years ?

$\par&space;Let&space;the&space;present&space;ages&space;of&space;the&space;two&space;brothers&space;be&space;x&space;years&space;and&space;2x&space;years&space;respectively.$

$\frac{x&space;-&space;5}{2x&space;-&space;5}&space;=&space;\frac{1}{3}$

$3(x&space;-&space;5)&space;=&space;(2x&space;-&space;5)$

$x&space;=&space;10$

$\par&space;Required&space;ratio&space;=&space;(x&space;+&space;5)&space;:&space;(2x&space;+&space;5)&space;=&space;15&space;:&space;25&space;=&space;3&space;:&space;5$