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Australian AMC 2017 - Junior Question 19

AMC AUSTRALIA · Australian AMC 2017 - Junior

Question 19

Farhad, Greg and Huong were dismantling their marble madness machine and had 2017 marbles to share. They split them so that Farhad had exactly twice as many as Greg, and Greg had twice as many as Huong, with as few left over as possible. How many marbles were in Farhad’s share?
  1. 1008
  2. 504
  3. 288
  4. 1344
  5. 1152