MathDB
averange number of houses minus one demolished is still 202/3`

Source: Portugal OPM 2023 p5

May 15, 2024
algebra

Problem Statement

In the village of numbers the houses are numbered from 11 to nn. Meanwhile, one of the houses was demolished. Duarte calculated that the average number of houses that still exist is 2023\frac{202}{3} . How many houses were there in the village and what is the number of the demolished house?