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Summer Clouds moderators

01/07/2017 at 10:07
Answers
4
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A4273 is a six-digit number in which A and B are digits, and the number is divisible by 72 without remainder. Find the value of A and the value of B.




    List of answers
  • ...
    giabao246 01/07/2017 at 20:28

    As I think then A=5 and B=6

    It's up to you ,but I think my answer is correct 

    Wish you good study

  • ...
    Phan Thanh Tinh Coordinator 01/07/2017 at 18:39

    \(\overline{A4273B}⋮72\Rightarrow\left\{{}\begin{matrix}\overline{A4273B}⋮9\\\overline{A4273B}⋮8\end{matrix}\right.\)\(\Rightarrow\left\{{}\begin{matrix}\left(A+4+2+7+3+B\right)⋮9\\\overline{73B}⋮8\end{matrix}\right.\)

    \(\Rightarrow\left\{{}\begin{matrix}16+A+B⋮9\\B=6\end{matrix}\right.\)\(\Rightarrow22+A⋮9\Rightarrow A=5\)

    So, A = 5 and B = 6

  • ...
    Do Not Ask Why 02/07/2017 at 17:18

    As I think then A=5 and B=6

    It's up to you ,but I think my answer is correct 

    Wish you good study.thank

  • ...
    Trần Quang Linh 01/07/2017 at 18:04

    sorry but where is B  :(


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