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Quoc Tran Anh Le Coordinator

05/08/2018 at 03:52
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If the six-digit number 3D6,D92 is divisible by 11, what is the value of D? 


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    Huy Toàn 8A (TL) 05/08/2018 at 13:38

    Sum of odd-numbered digits ( - ) Sum of even-numbered digits or vice versa is divisible by 11

    We have:

    (2 + D + D) - (3 + 6 + 9) is divisible by 11

    <=> 2 + 2D - 18 is divisible by 11

    <=> 2D - 16 is divisible by 11

    <=> 2 (D - 8) is divisible by 11

    So Greatest common divisor (2 ; 11) = 1

    => D - 8 is divisible by 11

    0 \(\le D\le9\)

    => D = 8

    So The answer is : 386,892

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