A true-life riddle

Here's one my Uncle Oui-oui told on himself at last night's party. See if you can figure out the answer.

Back in 1962, when he had first opened the old Conway Barber Shop on Curry Ford Road in Orlando, a young man came in to get a hair cut.

The very next day, what he thought was the same young man came back in the shop to get a haircut.

"Young man, weren't you just in here yesterday?" Oui-oui asked.

"Oh, no, that must've been my brother." The fellow replied.

"But, you look SO much alike!" My uncle declared. "You MUST be twins!"

"No," he answered with a sly grin. "We're not twins. However, we were both born the same day, within an hour of each other. And, we have the same mother and father. But, we're not twin brothers."

How could this be true?

I know the answer now. Do you?!