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IMSO 2009 — International Mathematics — Essay Question 9

IMSO Maths · IMSO 2009 — International Mathematics — Essay

Question 9

Alan, Billy, Candy, and David occur in that alphabetical order in a queue of 48 people. Alan is seventh from the front; David is ninth from the back. There are equally many people between Alan and Billy as between Candy and David, and six people between Billy and Candy. How many people are between Alan and Candy?