Question

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 1

Well lets let

C = coach and T = Tim

so

C = T + 10

and we can set up the equation from the question as

C-3 = 2(T-3)

and since we know that C = T + 10...we can replace C with that...

(T + 10) - 3 = 2(T-3)

and simplify this..

T + 10 - 3 = 2T - 6

T + 7 = 2T - 6

subtract T from both sides:

T + 7 = 2T - 6
-T -T

7 = T - 6

And finally add 6 to both sides to solve for Tims age...

T = ???

Answer 2

t = 13?

Answer 3

Right...now lets check it

If Tim is now 13

And the coach is 10 years older than him...that would make the coach 23...

and if 3 years ago the coach was double Tim's age...that means

2(13 - 3) = (23 - 3)

20 = 20

so yes

13 is Tim's age now, and coach is 23; so three years ago they were 10 & 20

Make sense? So yes Tim is 13 years old

Answer 4

yes! thank you!

Answer 5

No problem! :)