SOLUTION: Frederique is two years older than her brother. Twelve years ago she was twice as old as he was. how old are they now?

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Question 140754: Frederique is two years older than her brother. Twelve years ago she was twice as old as he was. how old are they now?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let Frederique's age be F and her brother's, B.
Right now,
1.F=B%2B2
12 years ago,
2.F-12=2%28B-12%29
Substitute 1 into 2 and solve for B.
F-12=2%28B-12%29
%28B%2B2%29-12=2%28B-12%29
B%2B2-12=2B-24
B-10=2B-24
B-2B=-24%2B10
-B=-14
B=14
Now that you have the brother's age, you can use a previous formula to find F.
F=B%2B2
F=14%2B2
F=16