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Math Help - Multiplication problem

  1. #1
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    Multiplication problem

    Ann was a bright mathematics student, she discovered something interesting about her first name. If the letters are arranged as they are below, it is possible to replace each different letter with a different digit and have the multiplication work out correctly. What digit should replace each letter.
    ANN
    X A
    _____
    BEL

    Be sure to explain your work.

    Thanks Im stumped
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by ferdo
    Ann was a bright mathematics student, she discovered something interesting about her first name. If the letters are arranged as they are below, it is possible to replace each different letter with a different digit and have the multiplication work out correctly. What digit should replace each letter.
    ANN
    X A
    _____
    BEL

    Be sure to explain your work.

    Thanks Im stumped
    Since BEL has only 3 digits A cannot be greater than 3, in fact it cannot
    even be 3 (since the last two digits of BEL are different AxN>9, and so
    there ill be a carry and ANNxA would have four digits).

    Also A cannot be 1, since then AxANN=ANN, so we may conclude that A=2.

    Finnaly trial and error will alow us to find that:

    288
    X 2
    _____
    576


    RonL
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  3. #3
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    Thanks for your quick response
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