Will It ever?

May 27 2008 =TUESDAY May 27 2009=WED(Non leap year increase by one day) May 27 2010=THU, May 27 2011=FRI, May 27 2012=SUN(Leap Year Birthday date increases by 2 days ), May 27 2013=MON May 27 2014=TUE, May 27 2015=WED, May 27 2016=FRI(Leap Year Birthday date increases by 2 days ), May 27 2017=SATURDAY

Well, the days of the week repeat themselves every 11 years. So May 27th is a Tuesday in 2008 as well as 2019. So going back, in 2007 May 27th is a Sunday (because of the leap year), and in 2006, May 27th is a Saturday. So then we have that 2017 is the next Saturday, May 27th.

ITS SIMPLE. EVERY NEXT YEAR THE ADVANCE WITH 1DAY, BUT IN THE LEAP YEAR IT ADVANCES 2 DAYS AND AGAIN 1 DAY. LIKE THIS-2008 TUESDAY, 2009-WEDNESDAY, 2010-THURSDAY, 2011- FRIDAY BUT 2012-SUNDAY, 2013-MONDAY, ,2014-TUESDAY, 2015-WEDNESDAY, 2016-FRIDAY, 2017-SATURDAY.

Logic is: On same day may 27, 2009 wed 2010 thurs 2011 Fri 2012 sun leap year Same will be for year 2016 and 2017 may 27 will be a Saturday,,..... Advanced happy b'day Marvin....!

PS'' dividing 365 by 7 will help...( 7;days a week..)

It's easy to see the solution using modulo. Let the number of years be x. Taking simple scenarios, and since we know that the base year is a leap year, the day after the x'th year on which Tuesday will fall is:

(x + [x/4])%7 = 4

(4 because Saturday - Tuesday = 4 and [x] is the greatest Integer function)

Now substitute values for x and we get 9+ [9/2] = 9+2 = 11 and 11%7 = 4.

So x =9 i.e. 2017

It's even easier if you treat the days of the week as numbers (Mon = 1, Tues = 2, ... Sat = 6, Sun = 0), add one or two for each year and then mod 7 the result.