30 lines
1.0 KiB
Plaintext
30 lines
1.0 KiB
Plaintext
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Article 585 of sci.physics:
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Path: puukko!santra!tut!enea!mcvax!uunet!husc6!sri-unix!ctnews!andrew!RP%OZ.AI.MIT.EDU@XX.LCS.MIT.EDU
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From: RP%OZ.AI.MIT.EDU@XX.LCS.MIT.EDU
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Newsgroups: sci.physics
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Subject: Mathematical Puzzle]
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Message-ID: <898@sri-arpa.ARPA>
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Date: 17 Mar 88 11:05:00 GMT
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Lines: 18
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From: Richard Pavelle <RP%OZ.AI.MIT.EDU@XX.LCS.MIT.EDU>
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The following puzzle circulated over various mailing lists 10 years ago.
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I am sending it to Physics because many readers have not seen it and
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it is very difficult to solve. But my real question is whether anyone
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can tell me the background of this problem? Enjoy............
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There are two integers each between 1 and 100. P knows their product,
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S knows their sum. Obviously, if they told each other the sum and
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product, they could figure out what the integers were. Instead, they
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have the following conversation:
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P: I don't know what the numbers are.
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S: I knew you didn't. Neither do I.
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P: Oh! Now I know.
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S: Oh! So do I.
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What are the two integers?
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