SOLUTION: Coach Johnson is 10 years older than Tim. When Tim started football 3 years ago, Coach Johnson was twice his age. How old is Tim now?

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Question 624597: Coach Johnson is 10 years older than Tim. When Tim started football 3 years ago, Coach Johnson was twice his age. How old is Tim now?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = Tim's age now
Let +c+ = Coaches age now
+t+-+3+ = Tim's age 3 years ago
+c+-+3+ = Coaches age 3 years ago
given:
(1) +c+=+t+%2B+10+
(2) +c+-+3+=+2%2A%28+t+-+3+%29+
--------------------
Substitute (1) into (2)
(2) +t+%2B+10+-+3+=+2%2A%28+t+-+3+%29+
(2) +t+%2B+7+=+2t+-+6+
(2) +t+=+7+%2B+6+
(2) +t+=+13+
and
(1) +c+=+t+%2B+10+
(1) +c+=+13+%2B+10+
(1) +c+=+23+
Tim is 13 now
check answer:
(2) +c+-+3+=+2%2A%28+t+-+3+%29+
(2) +23+-+3+=+2%2A%28+13+-+3+%29+
(2) +20+=+2%2A10+
(20 +20+=+20+
OK