n : 4 = c, rest 3 => n = 4c + 3
n : 6 = c, rest 5 => n = 6c + 5
n : 8 = c, rest 7 => n = 8c + 7
Adunam 1 la fiecare relatie
n + 1 = 4c + 4 => n + 1 = 4(c + 1)
n + 1 = 6c + 6 => n + 1 = 6(c + 1)
n + 1 = 8c + 8 => n + 1 = 8(c + 1)
4 = 2²
6 = 2·3
8 = 2³
cmmmc = 2³·3 = 24
n + 1 = 24 => n = 23
23 : 4 = 5, rest 3 (A)
23 : 6 = 3, rest 5 (A)
23 : 8 = 2, rest 7 (A)
Numarul cautat este 23