How do I get rid of someone elses apple Id that is not mine? I can"t even download apps on the app store

That's because the Apps that are requesting an update are ones downloaded with another Apple ID. You will not be able to update those apps without that Apple ID password.

However, you can delete the apps, and then redownload them from the App Store. Not only will that provide the newest version of the App, it also means since you've downloaded them now with your Apple ID, then your Apple ID is the one that can update them in the future.