Răspuns:
118
Explicație pas cu pas:
[tex]\displaystyle\textrm{Fie x numarul de elevi}\\x:6 = k_1 \: rest\: 4\\x:8 = k_2 \: rest \: 6\\ x:10 = k_3 \:rest \: 8\\x = 6k_1 + 4 = 8k_2 + 6 = 10k_3 + 8\Big | + 2\\x + 2 = 6(k_1 +1) = 8(k_2 + 1) = 10(k_3 + 1)\\\implies x+2 \in M_{[6, [8, 10]]} \\ \implies x+2 \in M_{[6, 40]}\\\implies x+2 \in M_{120}, \textrm{x - minim}\\\\\implies x+2 = 120 \\\implies \boxed{x = 118}[/tex]
