MathDB

1

Part of 2009 Austria Beginners' Competition

Problems(1)

positive integers on sides of a square

Source: Austria Beginners' Competition 2009 p1

12/26/2021
A positive integer number is written in red on each side of a square. The product of the two red numbers on the adjacent sides is written in green for each corner point. The sum of the green numbers is 4040. Which values ​​are possible for the sum of the red numbers?
(G. Kirchner, University of Innsbruck)
number theoryalgebra