Problema 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?
Answer provided by our tutors
let
t = the current age of Tim
c = the current age of the coach
When Tim started football 3 years ago, his coach was twice his age
c - 3 = 2(t - 3)
Currently, Tim's coach is 10 years older than him:
c = t + 10
by solving the system of equations:
c - 3 = 2(t - 3)
c = t + 10
we find
t = 13 years
c = 23 years
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Time is 13 years old.
The coach is 23 years old.