SOLUTION: Susan is 3 years older than Tom. Two years ago, Susan was twice as old as Tom. How old is each now?

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Question 1013839: Susan is 3 years older than Tom. Two years ago, Susan was twice as old as Tom. How old is each now?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = Susan's age now
Let +t+ = Tom's age now
--------------------------
(1) +s+=+t+%2B+3+
(2) +s+-+2+=+2%2A%28+t+-+2+%29+
-----------------------
(2) +s+-+2+=+2t+-+4+
(2) +2t+-+s+=+2+
and
(1) +-t+%2B+s+=+3+
---------------------
Add (1) and (2)
(2) +2t+-+s+=+2+
(1) +-t+%2B+s+=+3+
------------------
+t+=+5+
and
(1) +s+=+t+%2B+3+
(1) +s+=5+%2B+3+
(1) +s+=+8+
----------------
Susan is 8 and Tom is 5
----------------------
check:
2 yrs ago, Susan was 6
2 yrs ago, Tom was 3
Susan was twice as old
OK