Would Math puzzles - distinguished from Math homework problems, which can usually go on Math Stack Exchange - be on topic here? Example:
Two perfect logicians, S and P, are told that integers
y have been chosen such that
1 < x < y and
x+y < 100. S is given the value
x+y and P is given the value
xy. They then have the following conversation.
- P: I cannot determine the two numbers.
- S: I knew that.
- P: Now I can determine them.
- S: So can I.
Given that the above statements are true, what are the two numbers? (Computer assistance allowed.)