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National and Regional Contests
Portugal Contests
Portugal MO
2023 Portugal MO
5
5
Part of
2023 Portugal MO
Problems
(1)
averange number of houses minus one demolished is still 202/3`
Source: Portugal OPM 2023 p5
5/15/2024
In the village of numbers the houses are numbered from
1
1
1
to
n
n
n
. Meanwhile, one of the houses was demolished. Duarte calculated that the average number of houses that still exist is
202
3
\frac{202}{3}
3
202
ā
. How many houses were there in the village and what is the number of the demolished house?
algebra