MathDB
Paraguayan National Olympiad 2007, Level 3, Problem 4

Source:

September 1, 2014

Problem Statement

Each number from the set {1,2,3,4,5,6,7}\{1, 2, 3, 4, 5, 6, 7\} must be written in each circle of the diagram, so that the sum of any three aligned numbers is the same (e.g., A+D+E=D+C+BA+D+E = D+C+B). What number cannot be placed on the circle EE?