OK, I’ve whipped out the next test on my daily puzzle calendar and come up with this question:

I’m probably doing something wrong here (although it’s already been shown once that these puzzles fail to consider certain possibilities), but I don’t think you can completely answer the question based on the information provided. The way I see it…

[spoiler]…all conditions are satisfied if the correct number is 63 OR 65.

If it’s 63 (Becky’s guess), then Larry’s guess is off by 1, Bruce’s guess is off by 3, and Tony’s guess is off by 2.

If it’s 65 (Tony’s guess), then Bruce’s guess if off by 1, Larry’s guess is off by 3, and Becky’s guess is off by 2.

The puzzle says that 65 is the correct answer.[/spoiler]

What am I doing wrong?