I first skied when I was 12 but didn't really start till I was 20, now (26) I ski all the time!
The little kids can get pretty good. If you want your kid to be really good, leave them in ski school instead of a creche when they are 3/4, we had one kid like that when I worked in CO and after 1 season he was shredding. That does require you to live in the mountains, but why would you live anywhere else!?