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Each time the same letter appears it represents the same digit.Different letters represent different digits.C+C=D;D+E=17;A+2C=D;2B+C=8.Find the sum A+B+C+D+E

  • math -

    we have 2C=D, so
    A+D=D
    A=0

    D+E=17
    4B+D=16

    17-E=4B

    so, we have
    (E,B)=(1,4)
    (E,B)=(5,3)
    (E,B)=(9,2)

    that leaves us
    (A,B,C,D,E) = (0,4,0,0,1) nope
    (A,B,C,D,E) = (0,3,2,4,5) nope
    (A,B,C,D,E) = (0,2,4,8,9) ok
    so, A+B+C+D+E=23

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