Updating Apple apps with different AppleID

First: I have two AppleIDs. Long story there, but it's a factor in this situation. I just bought a new MacBook Pro, and tonight I used Pages for the first time on this new machine. I clicked to share the document I'd just written, and right away I got a prompt to update Pages. I clicked to update and went through the motions until I got an error message. I can't update because years ago I first activated Pages with my first AppleID. I'm using my (not-so) new AppleID.

My question: How to fix this situation? Do I dump Pages, iMovie, Numbers, and Keynote (all four are pending updates in my App Store) and then reinstall them?