I have chosen two different numbers greater than N but less than M. I tell their sum to Mr. S and their product to Ms. P. The following conversation ensues:
Mr. S: I cannot determine the two numbers.
Ms. P: I cannot determine the two numbers either.
Mr. S: I still cannot determine the two numbers.
Ms. P: Now I can determine the two numbers.
Mr. S: Now I can determine the two numbers also.
Find the greatest value of M for which this puzzle has a unique solution, for N=1, N=2 and N=3.
(In reply to
Clarification needed (Question) by Steve Herman)
[Correction: The answer below is totally incorrect, please see other posts above]
At the beginning, S knows only M+N; P knows only M*N; but neither knows M or N.At the end, they both know M and N
Edited on January 8, 2024, 2:04 pm
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Posted by Larry
on 2024-01-08 11:51:01 |
re: Clarification needed (Question)
