PRODUCT & SUM [classic SUM & PRODUCT puzzle, modified to reduce trial'n'error]
Mathematicians MP and MS both know that:
- A pair of secret integers m,n satisfy 1 < m < n .
- MP and MS can deduce everything that's possible to deduce.
- MP and MS make only true statements.
MP and MS converse.
(P1) MP states: "I've been told the product, P = mn , but nothing further."
(S2) MS states: "I've been told the sum, S = m + n , but nothing further."
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Above on...
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The story:
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