Digits 1 to 6

Puzzle:

Take a look at the following multiplication problem. Replace all "?" with digits 1, 2, 3, 4, 5 and 6 (use one digit only once) to make it true.

? ?
x ?
___
? ? ?

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Solution:

54
x 3
-----
162
-----



4 comments:

  1. 54
    x3
    ---
    162

    Lets say its
    A B
    x C
    ----
    DEF

    Now, neither B nor C can take the value 5 (since either 5 would be repeated or we'd get a 0). Only A or E can be 5 (because we cannot get DEF > 3xx neways)...
    So lets say A = 5...
    Now (B,C) cannot be (4,6) or (6,2), so lets try (4,3), and voila, we get the result...

    ReplyDelete