Question 808898
 tom is older than his brother.
 The product of their ages 6 years from now will be 120 more than the product of their present ages.
(t+6)(b+6) = tb + 120
FOIL
tb + 6t + 6b + 36 = tb + 120
Subtract tb from both sides
6t + 6b + 36 = 120
simplify, divide by 6
t + b + 6 = 20
t + b = 20-6
t + b = 14
:
 Find each of their ages
Several possibilities
 T  B
13  1
12  2
11  3
10  4
9   5
8   6