Oily yet dry skin on face?

My skin is very oily, i really hope its because of puberty (im 16) becuase i eat healthy and drink lots of water. At the same time its very dry...after i wash my face and use my Aveeno Ultra-Calming Daily Moisturizer lotion my skin starts becoming flaky after about an hour. In addition after waking up from sleeping, i have dry peely skin all around my face. I use no acne products anymore in hopes that it would help prevent dryness. Any suggestions? much appreciated