Certain medical conditions can cause your hands and feet to always feel chilled. As anyone who has worked in a shared office space can tell you, people have different body temperatures. Some people freezing while others roast is quite common, but if you constantly feel chilly when others seem comfortable, there may be a medical issue at play.
The numerous potential causes for coldness include hypothyroidism, calorie reduction and general aging, where people become more sensitive to cold temps due to a decrease in the metabolic rate and thinning of fat under the skin. A few other causes that affect older people frequently should probably be addressed with a doctor.