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?

Algebra.Com
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)   (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)
`
and two years ago Jim was three times as old as Tom was.
`
J-2=3(T-2)
`
Solve the system:

 

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






 

RELATED QUESTIONS


Three times the sum of Jim’s and Tom’s ages is equal to twelve times the difference of... (answered by josgarithmetic)

THREE TIMES THE SUM OF JIMS AND TOMS AGES IS EQUAL TO TWELVE TIMES THE DIFFERENCE OF... (answered by JBarnum)

twice the sum of jim's and tom's ages is equal to eight times the difference of their... (answered by mananth)

Three times the sum of Jim's and Tom's ages is equal to twelve times the difference of... (answered by richwmiller)

The sum of the ages of Alan, Jim, and Les is 157 years. Twenty years ago, six times Jim's  (answered by josgarithmetic)

Jim is 2 years older than three times peters age. Five years ago, the sum of their ages... (answered by josgarithmetic)

Jim is 2 years older than three times peters age. Five years ago, the sum of their ages... (answered by josgarithmetic)

Jim is two times as old as his sister Sally. The difference between Jim and Sally’s ages... (answered by Alan3354)

Jim is two times as old as his sister Sally. The difference between Jim and Emma’s ages... (answered by Alan3354)