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If $n>1$ is an integer, the notation $a\equiv b\pmod{n}$ means that $(a-b)$ is a multiple of $n$. Find the sum of all possible values of $n$ such that both of the following are true: $171\equiv80\pmod{n}$ and $468\equiv13\pmod{n}$.

 Aug 14, 2020
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The sum of all possible values of n is 5 + 7 + 10 = 22.

 Aug 14, 2020

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