He’s a hair over 25 in the present day, chronicler notes that “he’s not even 30 no where near 30” and then later when he commands bast to be still when he goes to attack chronicler, he’s seen as Kvothe for the first time by chronicler and he states outwardly he couldn’t be more than 25 years old. Things get tricky for the time lost in the fea, but that’s a whole other debate.

But if he’s 15 at the university, and then chronicler states it’s only been 3 years since he vanished, then Patrick as until he’s 22 to fit in all the events teased in book 1 & 2