numbers 0-9 to 9 squares
Source: III May Olympiad (Olimpiada de Mayo) 1997 L1 P1
September 17, 2022
combinatorics
Problem Statement
On a square board with squares (three by three), nine elements of the set must be placed, different from each other, so that each one is in a box and the following conditions are met:
The sums of the numbers in the second and third rows are, respectively, double and triple the sum of the numbers in the first row.
The sum of the numbers in the second and third columns are, respectively, double and triple the sum of the numbers in the first column.
Show all the possible ways to place elements of on the board, fulfilling the indicated conditions.