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In Mathematics / High School | 2014-05-12

Karen is 6 years older than Michelle, and Michelle is 2 years younger than their brother. The sum of their ages is 62. How old is Michelle?

Asked by ieshia

Answer (2)

Let Karen, Michelle and their brother be represented by constants k, m and b respectively.
According to your question,
k = 6 + m b = m + 2 k + b + m = 62.
Substituting for k and b in equation 3,
(6 + m) + (m + 2) + m = 62
= 3m + 8 = 62
3m = 54 m = 18.
Thus, k = 6 + m = 24 b= m + 2 = 20.
Thus, Karen's age is 24, Michelle's age is 18 and their brother's age is 20

Answered by tadvisohil886 | 2024-06-10

Michelle is 18 years old. Karen is 24, and their brother is 20. The total ages sum up to 62 as defined in the problem.
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Answered by tadvisohil886 | 2024-10-29