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Math Help - [SOLVED] logic question

  1. #1
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    [SOLVED] logic question

    I need proving whether the following statement is true or false;

    Both Alice's number and Brian's number divide Colin's number then the product of Alice's number and Brian's number must divide Colin's number.

    Any help would be appreciated
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by agingmathstudent View Post
    I need proving whether the following statement is true or false;

    Both Alice's number and Brian's number divide Colin's number then the product of Alice's number and Brian's number must divide Colin's number.

    Any help would be appreciated
    it's not hard to think of a counter example.

    let A be Alice's number, B be Brian's number, and C be Colin's number

    what can you say about A = 6, B = 2 and C = 6

    or A = 6, B = 3, C = 6

    or A = 12, B = 24, and C = 24

    or ....
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  3. #3
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    logic question

    Quote Originally Posted by Jhevon View Post
    it's not hard to think of a counter example.

    let A be Alice's number, B be Brian's number, and C be Colin's number

    what can you say about A = 6, B = 2 and C = 6

    or A = 6, B = 3, C = 6

    or A = 12, B = 24, and C = 24

    or ....
    Am I not to presume that the numbers picked for A and B need to be divisible by C

    therefore A/C and B/C then A x B/C would always be true
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by agingmathstudent View Post
    Am I not to presume that the numbers picked for A and B need to be divisible by C

    therefore A/C and B/C then A x B/C would always be true
    re-read the problem. we need Alice's and Brian's number to divide Collin's number. so we want C/A and C/B to be integers

    the problem is asking, if those are integers, is it true that C/(A*B) is an integer? if yes, the implication follows, if not, it doesn't
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