SOLUTION: 2 years ago, Adam was three times as old as Steve. In 4 years, Adam will be 10 years older than Steve. How old is Adam?

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Question 1099663: 2 years ago, Adam was three times as old as Steve. In 4 years, Adam will be 10 years older than Steve. How old is Adam?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Adam's age now
Let +b+ = Steve's age now
-----------------------------
(1) +a+-+2+=+3%2A%28+b+-+2+%29+
(2) +a+%2B+4+=+b+%2B+4+%2B+10+
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(1) +a+-+2+=+3b+-+6+
(1) +-a+%2B+3b+=+4+
and
(2) +a+-+b+=+10+
------------------------------
Add (1) and (2)
+2b+=+14+
+b+=+7+
and
(2) +a+-+7+=+10+
(2) +a+=+17+
--------------------
Adam is 17
Steve is 7
--------------------
check:
(1) +a+-+2+=+3%2A%28+b+-+2+%29+
(1) +17+-+2+=+3%2A%28+7+-+2+%29+
(1) +15+=+3%2A5+
(1) +15+=+15+
OK
You can check (2)