Currently Being ModeratedMay 7, 2013 8:11 PM (in response to Linda Claudette)
If the App has an InApp restore function like GTA Vice City or Real Race 3 like "saving in the cloud" you can restore it easily.
In some other way a game is using Game Center profiles to reactivate your last profile.
For this option you'll be asked which profile you want to use. "This on your phone right now" or "this one found using your apple ID".
Otherwise, if you've done a back up, just restore the whole iPhone with this back up and everything is back.