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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?

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A
18

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.

Explaination

Let: x = Michelle's agex + 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.

B 20

C 16

D 24

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