# The of the father’s age to his son’s age 7 : 3. The product of their ages are 756. The ratio of their ages after 6 years will be

$\par&space;Let&space;the&space;present&space;ages&space;of&space;the&space;father&space;and&space;son&space;be&space;7x&space;years&space;and&space;3x&space;years&space;respectively.$

$7x\times&space;3x&space;=&space;756$

$21x^{2}&space;=&space;756$

$x^{2}&space;=&space;36$

$x&space;=&space;6$

$\par&space;Required&space;ratio&space;=&space;(7x&space;+&space;6)&space;:&space;(3x&space;+&space;6)&space;=&space;48&space;:&space;24&space;=&space;2&space;:&space;1$