SOLUTION: Marla is 5 years younger than her friend Carey. Five years ago the sum of their ages was 41. How old is each of them now?

Question 404525: Marla is 5 years younger than her friend Carey. Five years ago the sum of their ages was 41. How old is each of them now?
Answer by Mr.Math(29) (Show Source): You can put this solution on YOUR website!
Let Marla is x now and Carey is y.
Then we obtain the system of equations:

Substitute the expression for y from the first equation into the second equation:

Simplify this expression:

Then
Answer is: Marla is 23 now and Carey is 28.

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