SOLUTION: Stan says my niece is currently 1/3 of my age. But In 12 years old she will be 1/2 of my age how old is stan now

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Question 1091113: Stan says my niece is currently 1/3 of my age. But In 12 years old she will be 1/2 of my age how old is stan now
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Stan's age now
Let +b+ = niece's age now
----------------------------
(1) +b+=+%281%2F3%29%2Aa+
(2) +b+%2B+12+=+%281%2F2%29%2A%28+a+%2B+12+%29+
--------------------------------
(1) +a+=+3b+
(2) +2%2A%28+b+%2B+12+%29+=+a+%2B+12+
(2) +2b+%2B+24+=+a+%2B+12+
(2) +a+=+2b+%2B+12+
--------------------------------
Plug (1) into (2)
(2) +3b+=+2b+%2B+12+
(2) +b+=+12+
and
(1) +a+=+3%2A12+
(1) +a+=+36+
------------------------
Stan is 36 now
------------------------
check:
(2) +b+%2B+12+=+%281%2F2%29%2A%28+a+%2B+12+%29+
(2) +12+%2B+12+=+%281%2F2%29%2A%28+36+%2B+12+%29+
(2) +24+=+%281%2F2%29%2A48+
(2) +24+=+24+
OK

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Stan says my niece is currently 1/3 of my age. But In 12 years old she will be 1/2 of my age how old is stan now
Let Stan's age be S
Then niece's is: matrix%281%2C3%2C+%281%2F3%29S%2C+or%2C+S%2F3%29
We then get: S%2F3+%2B+12+=+%281%2F2%29%28S+%2B+12%29
S%2F3+%2B+12+=+%28S+%2B+12%29%2F2
2S + 72 = 3S + 36 ------- Multiplying by LCD, 6
2S - 3S = 36 - 72
- S = - 36
S, or Stan is: