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A four-digit integer m and the four-digit integer obtained by reversing the order of the digits of m are both divisible by 45. If m is divisible by 7, what is the greatest possible value of m?

 May 27, 2020
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The greatest value of m=5,985, because:

5,985 mod 45 == 0 and 

5,985 mod 7   == 0 and 

5,895 mod 45 == 0

 May 27, 2020

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