[tex]\it \overline{x8y}\ \vdots\ 36 \Rightarrow \begin{cases}\it \overline{x8y}\ \vdots\ 4 \Rightarrow \overline{8y}\ \vdots\ 4 \Rightarrow y\in\{0,\ \ 4,\ \ 8\}\ \ \ \ \ (*)\\ \\ \it \overline{x8y}\ \vdots\ 9 \Rightarrow (x+8+y)\ \vdots\ 9 \Rightarrow x+y\in\{1,\ \ 10\} \Rightarrow x\in\{1,\ 10,\ 6,\ 2\}\end{cases}[/tex]
