SOLUTION: 6. Three times the sum of Jim’s and Tom’s ages is equal to nine times the difference of their ages, and two years ago Jim was three times as old as Tom was. How old is Tom now?

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Question 262511: 6. Three times the sum of Jim’s and Tom’s ages is equal to nine times the difference of their ages, and two years ago Jim was three times as old as Tom was. How old is Tom now? Be sure to show your work.
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Three times the sum of Jim’s and Tom’s ages is equal to nine times the difference of their ages,
`
3(J+T)=9(J-T)
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and two years ago Jim was three times as old as Tom was.
`
J-2=3(T-2)
`
Solve the system:

system%283%28J%2BT%29=9%28J-T%29%2CJ-2=3%28T-2%29%29 

Can you simplify those and solve the system?
If not post again asking how.

Answer J=8, T=4

Jim is 8 and Tom is 4