Yes, the XP Bolts should work in your guns. We've not yet found any of the QB CO2 family that they don't fit.
But the best thing to do is to try one. If it doesn't work in your QB77s and QB22s, let me know. You can return it and we'll refund the product purchase price.
Obviously I welcome input from anyone who has experience with these old models
Archer Airguns Inc.