Geodesic
Some non-standard logic problems
Matematičeskoe obrazovanie, no. 3 (2023), pp. 27-34 
G. A. Oganesyan; E. M. Dzhambetov; A. Ya. Belov. Some non-standard logic problems. Matematičeskoe obrazovanie, no. 3 (2023), pp. 27-34. http://geodesic.mathdoc.fr/item/MO_2023_3_a4/
@article{MO_2023_3_a4,
     author = {G. A. Oganesyan and E. M. Dzhambetov and A. Ya. Belov},
     title = {Some non-standard logic problems},
     journal = {Matemati\v{c}eskoe obrazovanie},
     pages = {27--34},
     year = {2023},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MO_2023_3_a4/}
}
TY  - JOUR
AU  - G. A. Oganesyan
AU  - E. M. Dzhambetov
AU  - A. Ya. Belov
TI  - Some non-standard logic problems
JO  - Matematičeskoe obrazovanie
PY  - 2023
SP  - 27
EP  - 34
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/MO_2023_3_a4/
LA  - ru
ID  - MO_2023_3_a4
ER  - 
%0 Journal Article
%A G. A. Oganesyan
%A E. M. Dzhambetov
%A A. Ya. Belov
%T Some non-standard logic problems
%J Matematičeskoe obrazovanie
%D 2023
%P 27-34
%N 3
%U http://geodesic.mathdoc.fr/item/MO_2023_3_a4/
%G ru
%F MO_2023_3_a4

Voir la notice de l'article provenant de la source Math-Net.Ru

Participants in the competition are asked to solve a system of three equations with three unknowns of the form $A_1=ab+c$, $A_2=ac+b$, $A_3=bc+a$, where $a$, $b$, $c$ — unknowns taking natural values greater than 1. The participants know only one of the numbers on the left sides of the equations, $A_1$, $A_2$, $A_3$, as well as the results of the survey of participants by the presenter. Five problems are formulated and solved with a complete analysis of the solution. Algorithms for solving these problems are proposed.

[1] S. Artemov, Yu. Gimatov, V. Fedorov, “Mnogo bitov iz nichego”, Kvant, 1977, no. 3

[2] I. F. Sharygin, Otkuda berutsya zadachi?, Kvant, 1991, no. 8, 42–48

[3] A. Ya. Belov, E. M. Dzhambetov, Kh. S. Taramova, Reshenie olimpiadnykh zadach po matematike. Uchebnoe posobie, Izdatelstvo ALEF, Groznyi-Makhachkala, 2020