65+35+20 does indeed work out to 120, I apologize for my previous post. However, it is still not the right answer. Let me work it through, and maybe someone can show me where my mistake is.

Hal Tom Gary
70 40 10
Hal than doubles Tom's and Gary's tickets making it:
20 80 20
Tom than doubles Hal's and Gary's tickets making it:
40 40 40- The right ending point.

If we were to use the other set of starting numbers it works out this way:
Hal Tom Gary
65 35 20
10 70 40
20 20 80-which is not the 40, 40, 40 that was what they ended with. So the correct answer has to be 70, 40, and 10.

Let me say that I also used the long approach to this, creating an algebra equation to solve it. Pudley's approach was much better. I gave this problem to my 10 yo step-son in the car and he solved it in less than 5 minutes (it took me longer to explain the problem to him than it did for him to solve it.) I think they teach math in a much better way than they did when we were in school, using common sense and estimating.