How can I loose weight fast and gain height?

There is no magic, stop eating, elevator shoes &/or major surgery are about it, none a good idea. Using muscles & not eating will drive burning body fat yet rare to be willing to do this for long. Most important cut out carbs. At late teenage, the bone epiphyses are closed (or closing) so increases in bone length & height have ended short of aggressive/expensive/painful surgery to lengthen leg bones.