Question

A man is 35 years older than his son. The product of their ages is 884. Write an equation that can be used to solve for the man's age. How old is the man?

Answer 1

the man is 52 years old

Explanation:

man: 35+x

son:x

y=884/x

x(35+x)=884

35x+x^2=884

35x+x^2-884=884-884 . 884/-17+52=35

x^2+35x-884=0

(x-17)(x+52)=0

x=17 . x=-52 (age can't be negative)

man:35+17=52