In any given year, the date 120 days after May 15 is September 12.
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The 143rd day in 2010 is the 23 May. 31 days in January 28 days in February 31 days in March 30 days in April 120 leaving 23 days needed in May.
100 days before the 1st of May is the 21st of January in a normal year and the 22nd of January in a leap year. 100 days after the 1st of May is the 9th of August.
334 days after Thursday, May 20, 2010 = Tueday, April 19, 2011.
100 days before Monday, May 3rd, 2010 = Saturday, January 23, 2010.
The answer depends on the starting date, as some months have more days than others. 523 days after Friday, May 21, 2010 = Wednesday, October 26, 2011. The answer, in this case is a Wednesday.