Results 1 to 2 of 2

Math Help - When is the next february with 5 sundays?

  1. #1
    Newbie
    Joined
    Feb 2008
    From
    Auckland, NZ
    Posts
    16

    Thumbs up When is the next february with 5 sundays?

    In 2004, there were 5 Sundays in February. What are the last two digits of the next year in which this will occur?

    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor kalagota's Avatar
    Joined
    Oct 2007
    From
    Taguig City, Philippines
    Posts
    1,026
    Quote Originally Posted by clarebear14 View Post
    In 2004, there were 5 Sundays in February. What are the last two digits of the next year in which this will occur?

    this means that Feb1 2004 is a Sunday..
    Now, notice that, every leap year, Feb1 moves 2 days backward from the present leap year to the next leap year.
    Since the number of days in a week is 7, it will need 7 leap years from 2004 so that Feb1 occurs on a Sunday again.
    so, 7 times 4 = 28 years, therefore the next year that Feb has 5 Sundays will be on 2032.
    Follow Math Help Forum on Facebook and Google+

Search Tags


/mathhelpforum @mathhelpforum