Răspuns:
[tex]2[/tex]
Explicație pas cu pas:
[tex]\begin{equation*}\overline{aaaa}+\overline{aaa}+\overline{aa}+\overline{a}=2468\\\text{Scriem numerele in baza 10:}\\a\cdot{}1000+a\cdot{}100+a\cdot{}10+a+a\cdot{}100+a\cdot{}10+a+a\cdot{}10+a=2468\\\text{Aducem ecuatia la o forma mai simpla: }\\1000a+200a+30a+4a=2468\\1234a=2468\\\text{Gasim solutia ecuatiei: }\\a=2\\\end{equation*}[/tex]