Question

A hot body at temperature ${\theta }_1$ is mixed with a cold body at temperature ${\theta }_2$. The fall in temperature of the hot body is equal to the rise in temperature of the cold body. Then find the resultant temperature.

Answer 1

If $\theta$ is resultant temperature, given that
${\theta }_1-\theta =\theta -{\theta }_{2}and\theta =\frac{{\theta }_1+{\theta }_2}{2}$