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  1. #1
    Join Date
    Oct 2003
    Location
    india, delhi
    Posts
    18

    Question Unanswered: Two logicians: Puzzle

    Two logicians:


    Two perfect logicians, S and P, are told that integers
    x and 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?


    Best Regards
    Sudeesh
    Sudeesh
    www.GaloisTech.com

  2. #2
    Join Date
    Oct 2003
    Posts
    1

    Re: Two logicians: Puzzle

    Originally posted by sudeesh
    Two logicians:


    Two perfect logicians, S and P, are told that integers
    x and 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?


    Best Regards
    Sudeesh
    How about 2 and 5?

    P will have 7, which can be gotten by 3+4 or 2+5, he can't tell. S will have 10, which can only be gotten by 2*5, therefore when he saiys that he knows P can't tell, P knows that it can't be 3+4, but 2+5.

    Or is it 7, since 3+4 or 2+5 can equal 7, so P cannot tell which one.

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