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Let $N$ be a positive integer.  The number $N$ has three digits when expressed in base $7$.  When the number $N$ is expressed in base $12$, it has the same three digits, in reverse order.  What is $N$?  (Express your answer in decimal.)

 Jul 23, 2024
 #1
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The answer is N = 1357.

 Jul 23, 2024

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