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

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Question 426990: When Tim started football 3 years ago, his coach was twice his age. Currently, Tim's coach is 10 years older than him. How old is Tim now?
Found 2 solutions by mananth, josmiceli:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Tim's age x
Coach age x + 10
3 years before
Tim's age x -3
Coach age x+10-3=x+7
Coach is 2 times older
x+7=2(x -3)
x+7=2x-6
2x-x=7+6
x=13 Tim's age
x+10=23 years Coach's age

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let t = Tim's age now
Let c = Coach's age now
-----------------------
given:
(1) +c+-+3+=+2%2A%28t+-+3%29+
(2) +c+=+t+%2B+10+
----------------
Substitute (2) into (1)
(1) +t+%2B+10+-+3+=+2%2A%28t+-+3%29+
(1) +t+%2B+7+=+2t+-+6+
(1) +t+=+13+
Tim is 13 now
check:
(1) +c+-+3+=+2%2A%28t+-+3%29+
+c+-+3+=+2%2A%2813+-+3%29+
+c+=+20+%2B+3+
+c+=+23+
This is 10 years older than Tim is now