SOLUTION: Lynn is twice as old as carol. Three years ago, Lynn was three times as old as carol. How old is carol now?

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Question 754640: Lynn is twice as old as carol. Three years ago, Lynn was three times as old as carol. How old is carol now?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Lynn's age now
Let +b+ = Carol's age now
given:
(1) +a+=+2b+
(2) +a+-+3+=+3%2A%28+b+-+3+%29+
-----------------------
Substitute (1) into (2)
(2) +2b+-+3+=+3%2A%28+b+-+3+%29+
(2) +2b+-+3+=+3b+-+9+
(2) +b+=+9+-+3+
(2) +b+=+6+
Carol is 6 now
check:
(1) +a+=+2b+
(1) +a+=+2%2A6+
(1) +a+=+12+
and
(2) +a+-+3+=+3%2A%28+b+-+3+%29+
(2) +12+-+3+=+3%2A%28+6+-+3+%29+
(2) +9+=+3%2A3+
(2) +9+=+9+
OK