SOLUTION: Today Aimee is one-third of Jamie's age. In 12 years, Aimee will be 50% of Jamie's age. How old will Aimee be next year?

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Question 1159878: Today Aimee is one-third of Jamie's age. In 12 years, Aimee will be 50% of Jamie's age. How old will Aimee be next year?
Found 2 solutions by Boreal, josgarithmetic:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Aimee is now x
Jamie is now 3x
in 12 years, Aimee will be x+12 and Jamie 3x+12
3x+12=2(x+12)
x=12 years Aimee now and next year she will be 13, ANSWER.
She is 12 and Jamie is 36
in 12 years they will be 24 and 48.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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system%28A=j%2F3%2CA%2B12=%281%2F2%29%28j%2B12%29%29
j%2F3%2B12=%281%2F2%29%28j%2B12%29
2j%2B72=3%28j%2B12%29
2j%2B72=3j%2B36
36=j--------------Jamie today
-
A=12-----------Aimee today
13--------------Aimee next year