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2 September, 17:12

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

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  1. 2 September, 17:34
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    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.
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