SOLUTION: Alicia is 7 years older than Bruce. Next year she wass be twice as old as he will be. How old is she now?

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Question 849615: Alicia is 7 years older than Bruce. Next year she wass be twice as old as he will be. How old is she now?
Found 2 solutions by lwsshak3, josmiceli:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Alicia is 7 years older than Bruce. Next year she will be twice as old as he will be. How old is she now
..
At present:
let x=Alicia's age
x-7=Bruce's age
..
Next year:
x+1=2(x-7+1)
x+1=2x-12
x=13
How old is Alicia now? 13

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Alicia's age now
Let +b+ = Bruce's age now
--------------------------
(1) +a+=+b+%2B+7+
(2) +a+%2B+1+=+2%2A%28+b+%2B+1+%29+
------------------------
Substitute (1) into (2)
(2) +b+%2B+7+%2B+1+=+2%2A%28+b+%2B+1+%29+
(2) +b+%2B+8+=+2b+%2B+2+
(2) +b+=+6+
and
(1) +a+=+b+%2B+7+
(1) +a+=+6+%2B+7+
(1) +a+=+13+
She is 13
check:
(2) +a+%2B+1+=+2%2A%28+b+%2B+1+%29+
(2) +13+%2B+1+=+2%2A%28+6+%2B+1+%29+
(2) +14+=+2%2A7+
(2) +14+=+14+
OK