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AMO · 2027 · Grades 8-9 · Self-study SET 21 Question 6

AMO

Question 6

In a three-digit number $\overline{XYZ}$, the nonzero digits $X,Y,Z$, in that order, form an arithmetic progression. If $\overline{XYZ}-\overline{ZXY}=M$, find the largest three-digit value of $M$.

The overline denotes a decimal number, not a product. Enter the integer $M$.