olymmath

AIME 2002b Problem 1

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Given that \begin{eqnarray*}&(1)& x\text{ and }y\text{ are both integers between 100 and 999, inclusive;} \ &(2)& y\text{ is the number formed by reversing the digits of }x\text{; and}\ &(3)& z=|x-y|. \end{eqnarray*} How many distinct values of zz are possible?

Dataset text AIME 1983 to 2026. Quoted with source.

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