Dry skin can be problematic and is usually due to underproductive oil glands. The best remedy for this is to use a mild cleansing bar rather than soap. Soap causes a problem because it contains too much detergent. The simple application of a good moisturiser can help lessen the negative symptoms of dry skin.
Oily skin means that your oil glands are going into overdrive. The skin often looks shiny and skin pores often get blocked because of the overproduction of oil. A good remedy for oily skin is washing the face often with a medicated cleanser.