SOLUTION: The ratio from Sam's age to Jim's age is 7:10. Twelve years ago Jim was twice as old as Sam. What will be the ratio of Sam's age to Jim's age 9 years from now?

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Question 1032300: The ratio from Sam's age to Jim's age is 7:10.
Twelve years ago Jim was twice as old as Sam.
What will be the ratio of Sam's age to Jim's age 9 years from now?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The ratio from Sam's age to Jim's age is 7:10.
S%2FJ + 7%2F10
10S = 7J
S = 7%2F10J
S = .7J
Twelve years ago Jim was twice as old as Sam.
J - 12 = 2(S - 12)
J - 12 = 2S - 24
J = 2S - 24 + 12
J = 2S - 12
Replace S with .7J
J = 2(.7J) - 12
J = 1.4J - 12
12 = 1.4J - J
12 = .4J
J = 12/.4
J = 30 yrs is Jim's present age
then
S = .7(30)
S = 21 yrs is Sam's present age
:
What will be the ratio of Sam's age to Jim's age 9 years from now?
%2821%2B9%29%2F%2830%2B9%29 = 30%2F39 = 10%2F13; 10:13 is ratio in 9 yrs