I'm only 27 but I started playing computer games when I was really, really little and the games came on 5.25" floppy disks. I never had a console, only computers.
I never wanted to actually be a video game programmer, but computer games are what made me so interested in computers in general. I definitely did my fair share of video game hacking and modification and reverse engineering as well as making helper tools and scripts for myself and my friends.
I went into a Software Engineering program in college because of this interest and have been a software developer for 5 years now and it's been great.