math

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the number of my hunderds plus the number of my thousandsin 3. the number of my tens is 7 times the number of my hundreds. the number of my ones is 3 times the number of my thousands. allmy digits are differnt. what number am i ?

  • math -

    The number is abcd

    b+a = 3
    c = 7b
    d = 3a

    Since c=7b, b = 0 or 1, or else the product would be > 10

    b is not 0, or 7b would also be 0, and all digits are different. S, we now have

    a17d

    b+a=3, so a = 2:

    217d

    d=3a, so d=6 and our number is

    2176

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