Karen is 6 yrs older than her sister Michelle and Michelle is two years younger than their brother David If the sum of their age is 62 how much older is Michelle

You are told the ages of Karen and David in terms of Michelle's age.

Let m = Michelle's age.

Michelle's age = m

Karen's age = m + 6

Michelle is two years younger than David, so David is two years older than Michelle.

David's age = m + 2

Add the ages and get 62.

m + m + 6 + m + 2 = 62

3m + 8 = 62

3m = 54

m = 18

Michelle is 18 years old

Karen is 6 years older, so she is 24 years old.

David is 2 years older than Michelle, so he is 20 years old.