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 505991: 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?
You can put this solution on YOUR website! Let
Present age of Time = t
Present age of Coach= c
Three years ago means we have to subtract 3 from their current ages
c-3=t-3
Then
Coach was twice the age to time
c-3=2(t-3)
c-3=2t-6
c=2t-6+3
c=2t-3...........(1)
Tim's coach is 10 years older than him means if we add 10 to Tim's age Coach and Time will be of equal age
c=t+10.........(2)
Put the value of c from (2) to (1)
c=2t-3...........(1)
t+10=2t-3
t+10=2t-3
t=2t-3-10
t-2t=-13
-t=-13
Multiply by (-1) both sides of the equation
(-1)(-t)=(-1)(-13)
t=13
Put the value of t in (2)
c=t+10.........(2)
c=13+10
c=23
Present age of Time = t = 13
Present age of Coach= c = 23
