Does throwing up really make you lose weight?

so I want to know if it helps you to loose weight or if just like keeps the weight off... cause I know 2 bulimic girls and one is like sickly skinny and the other one is average size...
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and what about anorexia? like if someone just stopped eating how long before that person shrivels up and drops pounds?
Does throwing up really make you lose weight?
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