OPM 2023 Problem 5
- Final day 2
In the village of numbers the houses are numbered from to . Meanwhile, one of the houses was demolished. Duarte calculated that the average number of houses that still exist is . How many houses were there in the village and what is the number of the demolished house?
Dataset text AI-MO AoPS. Quoted with source.
Official text: Portuguese Mathematical Olympiad 2023 official paper, page 1.
Solutions
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