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Problem of the Week 827

Below Average Integers

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What is the greatest integer so that each of its interior digits is less than the average of its neighbors?

Source: This problem was found by Stan Wagon in Leningrad Mathematical Olympiads, 1987-1991, MathPro Press, pp. 7, 62

© Copyright 1997 Stan Wagon. Reproduced with permission.

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The Math Forum

2 October 1998