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1955 AMC 12 Question 35

AMC12 · 1955 AMC 12

Question 35

Three boys agree to divide a bag of marbles in the following manner. The first boy takes one more than half the marbles. The second takes a third of the number remaining. The third boy finds that he is left with twice as many marbles as the second boy. The original number of marbles:
  1. is none of the following
  2. cannot be determined from the given data
  3. is $20$ or $26$
  4. is $14$ or $32$
  5. is $8$ or $38$