Răspuns:
444; 888
Explicație pas cu pas:
[tex]\overline {nnn} \ \ \vdots \ \ 12[/tex]
[tex]\overline {nnn} = 111 \cdot n = 3 \cdot 37 \cdot n[/tex]
[tex]100 \leqslant \overline {nnn} \leqslant 999[/tex]
[tex]\frac{100}{12} \leqslant \frac{\overline {nnn}}{12} \leqslant \frac{999}{12} \iff 8\frac{1}{3} \leqslant \frac{3 \cdot 37 \cdot n}{12} \leqslant 83 \frac{1}{4} \\ \implies 9 \leqslant 37 \cdot \frac{n}{4} \leqslant 83[/tex]
=>
[tex] \frac{n}{4} = 1 \implies n = 4 \iff \bf \overline {nnn} = 444 \\ [/tex]
[tex]\frac{n}{4} = 2 \implies n = 8 \iff \bf \overline {nnn} = 888 \\ [/tex]
