Karen is 6 years older than her sister Michelle, and Michelle is 2 years younger than their brother David. If the sum of their ages is 62, how old is Michelle?

Karen is 6 years older than her sister Michelle, and Michelle is 2 years younger than their brother David. If the sum of their ages is 62, how old is Michelle?

Detailed Explanation

Let: x = Michelle's age

x + 6 = Karen's age

x + 2 = David's age

State the problem in an equation:

x + x + 6 + x + 2 = 62

3x + 8 = 62

3x + 8 - 8 = 62 - 8

3x = 54

3x ÷ 3 = 54 ÷ 3

x = 18

This is Michelle's age.

x + 6 = Karen's age

x + 2 = David's age

State the problem in an equation:

x + x + 6 + x + 2 = 62

3x + 8 = 62

3x + 8 - 8 = 62 - 8

3x = 54

3x ÷ 3 = 54 ÷ 3

x = 18

This is Michelle's age.