SOLUTION: 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? I'm confused. Ho

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Question 895143: 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?
I'm confused. How do I even begin to answer this?
Thanks!
Found 2 solutions by JulietG, MathTherapy:
Answer by JulietG(1812)   (Show Source): You can put this solution on YOUR website!
K = 6 + M
M = D - 2, which also means that D = M + 2
K + M + D = 62
Take the known values of K and D from the top equations and put them into the bottom.
K + M + D = 62
(6+M) + M + (M+2) = 62
Add
3M + 8 = 62
Subtract 8 from each side
3M = 54
Divide each side by 3
M = 18
If Michelle is 18, and David is two years older, then David is 20.
Karen is 6 years older than Michelle, so she is 24.
18 + 20 + 24 = 62
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

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?
I'm confused. How do I even begin to answer this?
Thanks!


Let Michelle’s current age be M

Then Karen’s is: M + 6, and David’s is: M + 2

Since their ages sum to 62, then:

M + M + 6 + M + 2 = 62

3M + 8 = 62

3M = 62 – 8

3M = 54

M, or Michelle’s current age is: , or 

You can do the check!! 



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