Problem

Source: Kosovo Mathematical Olympiad 2022, Grade 10, Problem 1

Tags: combinatorics



Ana has a scale that shows which side weight more or if both side are equal. She has $4$ weights which look the same but they weight $1001g, 1002g, 1004g$ and $1005g$, respectively. Is it possible for Ana to find out the weight of each of them with only $4$ measurements?