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A Birthday Problem (Posted on 2007-02-08) Difficulty: 2 of 5
When Mr. Grimsby asked Mr. Fleming his age on a certain day in the current century, Mr. Fleming responded cryptically, "Today's day of the month corresponds to my age in years. My birthday will occur before this week is over, and then, the day of the month will precisely correspond to one fifth of my new age."

When is the most recent date in which this could have happened?

See The Solution Submitted by K Sengupta    
Rating: 2.5000 (2 votes)

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re: No Subject Comment 2 of 2 |
(In reply to No Subject by TomM)

That's not only the most recent date in this century that this could have occurred, but the only date, since our century is so young. It won't happen again until 2032, as the 28-year cycle of dates won't be broken until 2100.

The last time before 2004 that it would have been possible is 2004 - 28 = 1976, as Sunday, Feb. 29 occurs only once per 28-year cycle, and that cycle remained unbroken in 2000 (1900 being the previous break in the cycle).

  Posted by Charlie on 2007-02-08 09:50:11
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