Two identical bodies are made of a material for which the heat capacity increases with temperature. One of…

Loss of heat by the hot body = gain of heat by the cold body.

Since, the heat capacity increases with temperature, the hotter body will lose more energy when its temperature falls down from $100{ }^{\mathrm{o}}\mathrm{C}$ to $50{ }^{\mathrm{o}}\mathrm{C}$ compared to the energy required by the cold body to raise its temperature from $0{ }^{\mathrm{o}}\mathrm{C}$ to $50{ }^{\mathrm{o}}\mathrm{C}$. Thus, the temperature will be more than $50{ }^{\mathrm{o}}\mathrm{C}$.