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
re(2): Clarification needed (Question) by Charlie)
You're right. I answered quickly before re-reading the problem having read it several days ago.
Yes, I think both people know N and M,
but they don't initially know either a or b
N < a < M
N < b < M
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Posted by Larry
on 2024-01-08 14:03:13 |
re(3): Clarification needed (Question)
