$\begin{array}{l}
{19^{2015}} = \overline {.....9} \,\,\,\,;\,\,\,\,{11^{2014}} = \overline {.....1} \\
Ma\,\,\,\,9 + 1 = \,\,10\\
\Rightarrow {19^{2015}} + {11^{2014}} = \overline {.....0} \\
\Rightarrow {19^{2015}} + {11^{2014}}\,\, \vdots \,\,10
\end{array}$