If a player is reincarnated, is the player the same age as the old body?

@ChrisPerkinsDnD @JeremyECrawford if a player is reincarnated, is the player the same age as the old body? Could 300 year old come back 25? pic.twitter.com/8ws2l7PbiI

— Mathew Michalak (@Trogaf) March 17, 2017

I'd say that's up to the player, with the DM's consent of course. #WOTCstaff https://t.co/26eta7rHCv

— Christopher Perkins (@ChrisPerkinsDnD) March 17, 2017