MathDB
2 sheets of paper, n numbers on the one, m numbers on the other, sums

Source: 1st Final Mathematical Cup 2019 FMC ,seniors p4

October 6, 2020
combinatorics

Problem Statement

On two sheets of paper are written more than one positive integers. On the first paper nn numbers are written and on the second paper mm numbers are written. If one number is written on any of the papers then on the first paper is written also the sum of that number and 1313, and on the second paper the difference of that number and 2323. Calculate the value of mn\frac{m}{n}. .