SOLUTION: A mother is three times as old as her daughter, in twelve years time she will be twice as old as. How old is the mother now

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Question 987307: A mother is three times as old as her daughter, in twelve years time she will be twice as old as. How old is the mother now
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = daughter's age now
Let +m+ = mother's age now
given:
(1) +m+=+3d+
(2) +m+%2B+12+=+2%2A%28+d+%2B+12+%29+
----------------------------
Substitute (1) into (2)
(2) +3d+%2B+12+=+2%2A%28+d+%2B+12+%29+
(2) +3d+%2B+12+=+2d+%2B+24+
(2) +d+=+12+
and
(1) +m+=+3d+
(1) +m+=+3%2A12+
(1) +m+=+36+
The mother is 36 now
-----------------------
check:
(2) +m+%2B+12+=+2%2A%28+d+%2B+12+%29+
(2) +36+%2B+12+=+2%2A%28+12+%2B+12+%29+
(2) +48+=+2%2A24+
(2) +48+=+48+
OK