ITunes asking for password for wrong iTunes account

1)your friends itunes account was probably registered on your phone when you synced with the computer.

2) you can only be synced with one itunes account at a time. your problem might be that your synced with your friends account so any app that you download with your account wont be able to sync any apps unless you change it to sync with your account(which will delete all apps not purchased with your account.)

Sorry but there is no way, at this time, to remove purchased (include free) apps on iTunes AppStore. Same problem with the Mac AppStore.

I've already asked for this feature at iTunes Feedbacks, and you can do the same to make Apple understand what we want.

The ability to hide purchases from the iOS app store should cover most real-life situations where you would normally delete a past purchase. It also protects those who have lost control of their accounts and someone maliciously deletes past purchases. The idea that the past is unchangeable, but we wish to hide some items from prominence works for many.