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Summer Clouds moderators

19/09/2017 at 09:00
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What is the least integer greater than 6 that leaves a remainder of 6 when it is divided by 7 and by 11?




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    Phan Thanh Tinh Coordinator 19/09/2017 at 10:03

    Let x be the least satisfied integer (x > 6). 

    x leaves a remainder of 6 when divided by 7 and 11, so x - 6 is divisible by 7 and 11 or \(x-6⋮77\)

    \(\Rightarrow x-6=77\Rightarrow x=83\)

    So, the answer is 83

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    Vũ Trung Dũng 24/09/2017 at 14:16

    Let x be the least satisfied integer (x > 6). 

    x leaves a remainder of 6 when divided by 7 and 11, so x - 6 is divisible by 7 and 11 or x−6⋮77x−6⋮77

    ⇒x−6=77⇒x=83⇒x−6=77⇒x=83

    So, the answer is 83


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