Brook's age is 8 years.
Explanation:
- Step 1: Let the age of Samantha be x. Then age of Brook is x - 3.
- Step 2: Form equations out of the given details.
⇒ (x + 5) + (x - 3 + 5) = 29 (sum of their ages in 5 years is 29)
⇒ x + 5 + x + 2 = 29
⇒ 2x = 22
⇒ x = 11
- Step 3: Calculate Brook's age.
⇒ x - 3 = 11 - 3 = 8