SOLUTION: When Tim started football 3 years ago, his coach was twice his age. Currently, Tim's coach is 10 yrs older than Tim. How old is Tim now?

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Question 401183: When Tim started football 3 years ago, his coach was twice his age. Currently, Tim's coach is 10 yrs older than Tim. 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 = Coach's age 3 years ago
-------------------------
given:
(1) c+-+3+=+2%2A%28t+-+3%29
(2) c+=+t+%2B+10
--------------------
Substitute (2) into (1)
(1) %28t+%2B+10%29+-+3+=+2%2A%28t+-+3%29
(1) t+%2B+7+=+2t+-+6
(1) t+=+13
Tim is 13 yrs old now
check answer:
(1) c+-+3+=+2%2A%2813+-+3%29
(2) c+=+13+%2B+10
(2) c+=+23
and
(1) 23+-+3+=+2%2A10
20+=+20
OK