If you wait until your adult years to remove your wisdom teeth several things become more complicated about your surgery.
First, at some point in your late-late teens or early twenties, your lower wisdom teeth will grow root tips and finish developing. Once this happens, the risk of the root tips interfering with the nerve in your mandible raises the risk of temporary or permanent numbness in your lower lip and chin.
The older you become, generally the more dense your bone becomes. Increased bone density will increase the difficulty of removing the wisdom teeth and could cause additional swelling and healing time.
Younger patients heal faster and with less complications overall than older patients. Younger patients generally experience less dry socket, pain and swelling than older patients.