I have several interior doors on all three floors of a house that are skewed to the point that the latch no longer slides into the strike plate. If the door has a lock, this means I cannot use the lock. The gap gets wider towards the bottom and wider towards the right (when on the "inside" of the door). I have no idea how the doors have become skewed.
I'm told a good resolution to this problem is to put cardboard shims on the middle and bottom hinges on the jamb as well as the door side. I've also been told to use longer screws to pull the door in. Which do you think is smarter? My initial thought is to do the shims, because you are not hurting any wood. But I'm not sure if the shims are less of a "solution" and more of a "hack".