Some common health problems that affect cats include upper respiratory infections, fleas and ticks, obesity, dental disease, and urinary tract infections. These health problems can be prevented or treated by providing cats with a nutritious diet, regular exercise, regular veterinary checkups, and proper grooming. Additionally, cats should be vaccinated against common diseases, and their environment should be kept clean and free of parasites. If a health problem is detected, it should be treated promptly and appropriately.