SOLUTION: Melissa is 24 years younger than Joyce. In 2 years, Joyce will be 3 times as old at Melissa will be then. How old are they now?

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Question 344048: Melissa is 24 years younger than Joyce. In 2 years, Joyce will be 3 times as old at Melissa will be then. How old are they now?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.M=J-24
In two years, Melissa will be M%2B2, Joyce will be J%2B2.
J%2B2=3%28M%2B2%29
J%2B2=3M%2B6
2.J=3M%2B4
Substitute eq. 1 into eq. 2,
J=3%28J-24%29%2B4
J=3J-72%2B4
-2J=-68
J=34
Then
M=34-24=10
.
.
.
Joyce is 34 years old and Melissa is 10 years old.