Originally Posted by Sir Bahamut
It's not a typo, you're just mixing up information. WHat you're forgetting is that Edea received sorceress powers not just once, but TWICE.
The first time she became a sorceress was when she was 5 years old. Who gave her these powers is unknown, but it doesn't really matter.
The second time was 13 years ago, and is the event we see in the ending, when Ultimecia gives Edea her powers at the Orphanage.
So there's no problems really. How old Edea really is, seems hard to tell, but around 40-50 seems reasonable to me.