2x2 diophantine system
Source: Spanish Mathematical Olympiad 1982 P1
December 23, 2022
number theorysystem of equationsSystemalgebra
Problem Statement
On the puzzle page of a newspaper this problem is proposed:
“Two children, Antonio and José, have comics. Antonio counts his by by and there are left over. José counts his by and he also has left over. How many comics does he have each?" In the next issue of the newspaper this solution is given: “Antonio has comics and José has .”
Analyze this solution and indicate what a mathematician would do with this problem.