SOLUTION: Lucy is nine years less than three times the age of her daughter Chloe. In five years, she will be twice her daughter'a age. How old is Chloe?

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Question 1059396: Lucy is nine years less than three times the age of her daughter Chloe. In five years, she will be twice her daughter'a age. How old is Chloe?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Lucy's age now
Let
(2) +a+%2B+5+=+2%2A%28+b+%2B+5+%29+
----------------------------
(2) +a+%2B+5+=+2b+%2B+10+
(2) +a+-+2b+=+5+
and
(1) +-a+%2B+3b+=+9+
---------------------------
Add (1) and (2)
(2) +a+-+2b+=+5+
(1) +-a+%2B+3b+=+9+
--------------------
+b+=+14+
and
(1) +a+=+3b+-+9+
(1) +a+=+3%2A14+-+9+
(1) +a+=+42+-+9+
(1) +a+=+33+
-------------------
Chloe is 14
-------------------
check:
(2) +a+%2B+5+=+2%2A%28+b+%2B+5+%29+
(2) +33+%2B+5+=+2%2A%28+14+%2B+5+%29+
(2) +38+=+2%2A19+
(2) +38+=+38+
OK
You can check (1)