\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Consider a 3-digit integer. We define the reversed of this integer as the number obtained by swapping the hundreds and units digits. For example, the reversed of \(158\) is \(851\).
Show that the difference between a 3-digit integer and its reversed is divisible by \(9\).
Capture an image of your work. AI teacher feedback takes approximately 10 seconds.