Alphabet to Numerical

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Solve the alphametic puzzle by replacing the alphabet with the number.

S T O R M +
S O L E S
=========
T O W E L
=========

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  • 2 Answer(s)

    4 9 7 0 2
    +
    4 7 6 1 4
    ============
    9 7 3 1 6

    bhola99 Expert Answered on 12th January 2023.
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    There are only 8 characters so there is more than one solution!!
    Since S+S=T and  T+ O = O meaning  T is zero or 10 (9+1) so T can not be zero hence  it has to be 9 therefor S must be 4.
    And since we also have R+E=E than R must be zero.
    Now M+S < 10 so M+4 < 9 than M can be 1,2,3

    If M=1 than L=5 and L+ O > 10 than O can be 7 or 8 so we get

    4   9   7   0          1                4   9    8   0         1
    +                                               +
    4   7   5  3,6,8   4                4  8    5  2,6,7   4
    ============              ============
    9   7   2  3,6,8   5                 9  8   3  2,6,7   5

    If M=2 than L=6  and L+0 > 10 than O can be 5 or 7 so we get

    4   9   5      0      2                 4   9   7       0      2
    +                                                +
    4   5   6  3,7,8  4                 4   7   6  1,5,8   4
    ===========                 ============
    9   5  1  3,7,8   6                 9   7   3   1,5,8   6

    If M=3 than  L=7  and L+O > 10 than O can be 5 or 8 so we get

    4   9   5      0       3              4   9   8       0       3
    +                                             +
    4   5   7  1,6,8   4              4   8   7  1,2,6    4
    ===========              ============
    9   5   2   1,6,8  7              9   8   5  1,2,6    7

    Moshe Expert Answered on 15th January 2023.
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