Palin - Palin

Number Theory Level 3

\(A\) and \(B\) are positive 4-digit palindrome numbers. \(C\) is a positive 3-digit palindrome number. Given that \(A-B=C\), what is the value of \(C\)?

Details and assumptions

A palindrome is a number that is the same when its digits are reversed (i.e. \(232\) is a palindrome).

The number \(10 = 010 \) is not considered a palindrome. We ignore any 0's at the start.


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