Question

Joe is 14 years older than his cousin Tom.

Cousin Rob is 3 times as old as Tom. The sum of all
three of their ages is 64. Find each of their ages.

Answer 1

x = Tom's age

x + 14= Joe's age

3x = Rob's age

x + (x + 14) + 3x = 64

Let's combine like terms

5x + 14 = 64

Subtract 14 from both sides

5x = 50

Divide each side by 5

x = 10

Tom is 10 years old.

Joe's age = 10 + 14 = 24 years old

Rob's age = 3(10) = 30 years old