Question

The sum of the ages of father and his son is 45 years. Five years ago the product of their ages was 34. The ages of the son and his father respectively are.

• A. 7 and 38
• B. 9 and 36
• C. 11 and 34
• D. 14 and 31
• E. none of these

Answer 1

The correct option is E

none of these

Let fathers age be x

Let sons age be y

x + y = 45

(x -5) (y-5) = 34

x y - 5 (x + y) + 25 = 34

x = 39

y = 6