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abcba is a five-digit palindrome divisible by 11 with a , b, and c being distinct digits. What is the sum of the smallest and largest possible values of abcba?

 Oct 9, 2020
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The smallest 5-digit palindrome =10901 mod 11 =0. [1 + 0 + 9 + 0 + 1]=11

 

The largest 5-digit palindrome =96569 mod 11 =0. [9 + 6 + 5 + 6 + 9] =35

 Oct 9, 2020
edited by Guest  Oct 9, 2020

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