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 numbers are written and on the second paper 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 , and on the second paper the difference of that number and . Calculate the value of .
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