Mathematics · Data Sufficiency

There are five officers having 7, 9, 11, 13, and 14 inspectors respectively working under them. Last year, each officer discovered that all inspectors under them had exactly the same number of cases. If the third officer gives one inspector to the first officer, and the fifth officer gives three inspectors to each of the second and fourth officers, all five officers would end up with the same total number of inspectors. What was the original number of cases per inspector for the third and fourth officers?