Karen is 6 years older than michelle and michelle is 2 years younger then their brother. the sum of their ages is 62 how old is michelle

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