Geodesic
Some non-standard logic problems
Matematičeskoe obrazovanie, no. 3 (2023), pp. 27-34 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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/

[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