SOLUTION: Jack is currently 6 times as old as Rose. Five years later, Jack will be thrice as old as Rose. How old are they at present?

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Question 1022627: Jack is currently 6 times as old as Rose. Five years later, Jack will be thrice as old as Rose. How old are they at present?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
let j = Jack's present age
let r = Rose's
:
Write an equation for each statement
:
Jack is currently 6 times as old as Rose.
j = 6r
Five years later, Jack will be thrice as old as Rose.
j + 5 = 3(r + 5)
j + 5 = 3r + 15
j = 3r + 15 - 5
j = 3r + 10
Replace j with 6r (from the 1st statement)
6r = 3r + 10
6r - 3r = 10
3r = 10
r = 10/3
r = 31%2F3 yrs old is Rose
then
6(3.333) = 20 yrs is Jack's age

Usually these age problems have integer solutions, maybe there is mistake as this problem is written.