
The Strong Women strength training programs are designed to help you gain muscle mass and strength. In the case of women who are overweight, the gain in muscle mass boosts their metabolism so that combined with aerobic exercise and a reduced calorie diet, weight loss is made easier and they look more fit and toned as they lose weight (and body fat).
In your case, you should certainly speak with your doctor about any unexplained weight loss, as weight loss can be a marker for other health problems. But as far as strength training is concerned, if you start the program and continue your normal eating and other activity habits, you will build muscle and bone mass as well as strength. In order to gain weight you will also have to consciously increase your caloric intake a bit. Choose protein rich foods such as yogurt, eggs, meat (if you eat meet), legumes, whole grains and fruits and vegetables. But again, this is something you should discuss in more detail with your doctor.