Two identical bodies are made of a material for which the heat...

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 $100{}^{o}C$ to $50{}^{o}C$ compared to the energy required by the cold body to raise its temperature from $0{}^{o}C$ to $50{}^{o}C$. Thus, the temperature will be more than $50{}^{o}C$.