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VTMO 2016 — Grade 3 — final Question 19

VTMO · VTMO 2016 — Grade 3 — final

Question 19

An, Binh and Chau have candies. First An gives Binh and Chau as many candies as each currently has (for example, $10$ more if Binh has $10$, and $7$ more if Chau has $7$). Next Binh doubles Chau’s and An’s holdings in the same way. Finally Chau doubles An’s and Binh’s holdings. All three then have $16$. How many did An originally have?