Consider a ground set $U$ and let $X,Y$ and $Z$ be subsets of $U$ such that $\begin{aligned} \lvert U \rvert & =140, \lvert X \rvert =40, \lvert Y \rvert =35, \lvert Z \rvert=53, \\ \lvert X \cap Y \rvert &=7, \lvert Y \cap Z \rvert=10, \lvert Z \cap X \rvert=15, \\ & \lvert X \cap Y \cap Z \rvert=3. \end{aligned}$ What is the number of elements in the complement of $X \cup Y \cup Z?$