Replying to Avatar やトナ

It makes sense just intuitively. Since the numbers on each side have to match, any number added to it to make another palindrom would have to increase the number on each side by the same amount
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koby 2y ago

111 breaks that rule down and up right?

111-101=10

121-111=10

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nobody 2y ago

I didn’t say the difference of EVERY palindrome pair is a palindrome. Just that for every palindrome, there is a match (actually many) to result in another palindrome.

111+222=333

121+303=424

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nobody 2y ago

More explicitly, the for every palindrome p, there also exists palindromes r and q, such that p+r=q

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koby 2y ago

Math is fun