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    Explanaion of Letter Equation

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    Please explain:

    ABCDE X 4 = EDCBA

    © BrainMass Inc. brainmass.com February 24, 2021, 2:13 pm ad1c9bdddf
    https://brainmass.com/math/algebra/explanation-letter-equation-7505

    Solution Preview

    Assume that A, B, C, D and E can only be one of ten numbers 0,1,2,...,9. We solve this equation as follows.
    Since ABCDE *4=EDCBA (*)
    we know that A must be an even number, i.e, A may be 0,2,4,6,8. Obviously, A can't be 4,6,8 since otherwise, ABCDE*4>100000 which is impossible. So we consider the following two cases.

    (1) A=2

    By (*) we know that E=8. So we can write (*) as follows.

    2BCD8*4=8DCB2,

    that ...

    Solution Summary

    This shows how to assign numbers to letters in a multiplication problem.

    $2.19

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