Hi,
Welcome to the ehealthforum and I am really glad to help you out.
Besides cystic fibrosis, salty skin can be due to more amount of sodium or salts being secreted in the sweat. When the water in the sweat evaporates, it leaves the salts (sodium, chloride and potassium) behind on your skin, which is why your skin tastes salty.If there is any excess of salts then it can give a salty taste.
It is very difficult to precisely confirm a diagnosis without examination and investigations and the answer is based on the medical information provided. For exact diagnosis, you are requested to consult your doctor. I sincerely hope that helps. Take care.