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MathNet 2006 — Part 04 Question 60

Math Olympiad Vault · MathNet 2006 — Part 04

Question 60

$n$ is a positive 3-digit number, and its hundred's place and its one's place are not $0$. Make a new number by exchanging the hundred's place and the one's place of $n$, and call it $m$. Answer the maximum value of $n - m$.