Bulimarexia
bu·lim·a·rex·i·a

A syndrome in which the symptoms of both bulimia and anorexia nervosa are present, characterized by distorted body image, excessive weight loss, and use of forced vomiting to compensate for periods of binge eating.

Bulimiarexia combines bulimia and anorexia/anorexia nervosa by having symptoms of both diseases.
"I think she has bulimarexia. She always complains about her weight. I think she threw up last night, and she hasn't eaten anything today... She's really thin now. Too thin..."