\(\overline{1ab}+36=\overline{ab1}\)
\(\Rightarrow100+\overline{ab}+36=10.\overline{ab}+1\)
\(\Rightarrow136+\overline{ab}=10.\overline{ab}+1\)
\(\Rightarrow136-1=10.\overline{ab}-\overline{ab}\)
\(\Rightarrow135=9.\overline{ab}\)
\(\Rightarrow\overline{ab}=15\)