How did Hall & Oates get their name?

At the time they met, each was heading his own musical group, Hall with The Temptones and Oates with The Masters. They were there for a band competition when gunfire rang out between two rival gangs, and in trying to escape, they ran to the same service elevator. On further discovering that they were interested in the same music and that both were attending Philadelphia's Temple University, they started spending time together on a regular basis and eventually shared a number of apartments in the city. One of the apartments they shared had "Hall & Oates" on the mailbox, which became the duo's name.