A list of integers has mode 32 and mean 22. The smallest number in the list is 10. The median m of the list is a member of the list. If the list member m were replaced by m \plus{} 10, the mean and median of the new list would be 24 and m \plus{} 10, respectively. If m were instead replaced by m \minus{} 8, the median of the new list would be m \minus{} 4. What is m?
<spanclass=′latex−bold′>(A)</span>16<spanclass=′latex−bold′>(B)</span>17<spanclass=′latex−bold′>(C)</span>18<spanclass=′latex−bold′>(D)</span>19<spanclass=′latex−bold′>(E)</span>20