Brook is 3 years younger than Samantha in 5 years the sum of their ages will be 29 find brooks age

Brook's age is 8 years.

Step-by-step 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