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Thread: As easy as ABC

  1. #1
    Platinum Lounger
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    As easy as ABC

    ABC is a number, where A, B and C are different integers.

    Find ABC, where:

    ACB+BCA+BAC+CBA+CAB=4539
    Jerry

  2. #2
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    Re: As easy as ABC

    <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">ABC = 789</span hide>

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    Re: As easy as ABC

    Well done Hans [choccy bar]

    Just as a matter of interest, was this done with Excel, or did you do it by mathematical proof?
    Jerry

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    Re: As easy as ABC

    <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">I wrote an equation for A, B and C:

    122A + 212B + 221C = 4539

    It's clear that C must be odd to get an odd sum. An order of magnitude estimation shows that B and C must be in the 8 to 9 range to get the sum over 4000, so B = 8 and C = 9. A folllows.</span hide>

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    Re: As easy as ABC

    Cool

    That is what I had, just checking <img src=/S/evilgrin.gif border=0 alt=evilgrin width=15 height=15>
    Jerry

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