A work could be completed by certain workers in 22 days. However, due to 3 workers being absent, it was completed in 24 days. The original number of workers was

Let original workers = x. Total work = x × 22 worker-days. With 3 workers absent, workers = x - 3, and they complete in 24 days: (x - 3) × 24 = x × 22. Solving: 24x - 72 = 22x, so 2x = 72, giving x = 36 workers. This means 36 workers would take 22 days, and 33 workers would take 24 days - both completing the same total work of 792 worker-days.