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3

Part of 2013 Lusophon Mathematical Olympiad

Problems(1)

III Lusophon Mathematical Olympiad 2013 - Problem 3

Source:

8/12/2013
An event occurs many years ago. It occurs periodically in xx consecutive years, then there is a break of yy consecutive years. We know that the event occured in 19641964, 19861986, 19961996, 20082008 and it didn't occur in 19761976, 19931993, 20062006, 20132013. What is the first year in that the event will occur again?