MathDB
2022 Polish Junior Math Olympiad First Round P4

Source:

May 21, 2023
combinatorics

Problem Statement

In each square of the table below, we must write a different integer from 11 to 1717, such that the sum of the numbers in each of the eight columns is the same, and the sum of the numbers in the top row is twice the sum of the numbers in the bottom row. Which number from 11 to 1717 can be omitted?
https://wiki-images.artofproblemsolving.com//2/2b/Zrzut_ekranu_2023-05-22_o_10.28.33.png