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Math Help - Mathematical Logical Problem

  1. #1
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    Mathematical Logical Problem

    Hello!

    I require help with a certain mathematical problem. I am playing a game with my friend, and we are inevitably stuck.
    The game is simple, we have all the numbers from 1 to 500, my friend makes the first move and removes one number (He does not tell me the number, so I suppose it is "x"), and the second move is mine, I remove one number to. From then I must play by myself, I must come to a solution where the last 2 numbers, when you (+) them between themselves can be divided by 3. If they can't be divided by 3 then I have lost the game. How can I make an equation to solve this?

    Best regards,
    Alexander
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  2. #2
    Super Member TheChaz's Avatar
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    An equation? Uh...
    Let's say your friend's first number is NOT = 1 or 2.
    Then you also pick a number that is NOT = 1 or 2.
    Finally, just pick all the other numbers (after he is "done playing" ??) and you will be left with 1 + 2 = 3.

    Let's say your friend's first number IS = 1 or 2.
    Then you pick a number that is NOT = 499 or 500
    ...
    499 + 500 = 999 = 3(333).

    What exactly is the problem???
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  3. #3
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    Quote Originally Posted by Kruciatus View Post
    Hello!

    I require help with a certain mathematical problem. I am playing a game with my friend, and we are inevitably stuck.
    The game is simple, we have all the numbers from 1 to 500, my friend makes the first move and removes one number (He does not tell me the number, so I suppose it is "x"), and the second move is mine, I remove one number to. From then I must play by myself, I must come to a solution where the last 2 numbers, when you (+) them between themselves can be divided by 3. If they can't be divided by 3 then I have lost the game. How can I make an equation to solve this?

    Best regards,
    Alexander
    THis is the game nim. Check it out on wikipedia.
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