Answer: 2
Step-by-step explanation:
Current Age Age in future (x years)
Brother 1: 15 x + 15
Brother 2: 22 x + 22
The product of their ages in the future is 408:
(x + 15)(x + 22) = 408
x² + 37x + 330 = 408 Expanded
x² + 37x - 78 = 0 Subtracted 408 from both sides
(x + 39)(x - 2) = 0 Factored
x + 39 = 0 x - 2 = 0 Applied Zero Product Property
x = -39 x = 2 Solved for x
↓
Disregard since "future" years cannot be negative
