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MathNet 2006 — Part 04 Question 64

Math Olympiad Vault · MathNet 2006 — Part 04

Question 64

Tomohiro and Akinori read mathematical books as follows. Akinori reads 2 pages a day. Tomohiro reads 3 pages a day. However, each of the two stop reading of that day if he reaches the end of a chapter.

There is a mathematical book which consists of 10 chapters and 120 pages. Find the smallest value of the difference between the number of days in which Akinori reads the book and that of Tomohiro. A new chapter always begins with a new page.