Question

The sum of father and his son is 55 years.if the father was to live till his son's age equals his present age,the total of their ages would be 93 yrs.find their present ages.

Answer 1

F+ S = 55_____(1)
and , after the age of son's
(F+S) + (S+S) = 93
⇒F +3S = 93____(2)
subtracting (1) and (2),
2S = 38
⇒S = 19 years
So, F =55-19 = 36 years 

Answer 2

F+ S = 55
(F+S) + (S+S) = 93
⇒F +3S = 93
subtracting (1) and (2),
2S = 38
⇒S = 19 years
So, F =55-19 = 36 years