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Math Help - What day will it be after a 100 days

  1. #1
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    What day will it be after a 100 days

    How can I work out what day of the week it'll be after x amount of days?
    Some kind of formula to this......
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  2. #2
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    Quote Originally Posted by ethio View Post
    How can I work out what day of the week it'll be after x amount of days?
    Some kind of formula to this......
    Number the days of the week from 0 to 6 (you get to choose which day is day zero), then add x to today's day-of-the-week number, doing all arithmetic modulo 7.
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  3. #3
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    Sorry for this but can you give me an example? say...any number of days from today, with a full workout.
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  4. #4
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    Quote Originally Posted by ethio View Post
    How can I work out what day of the week it'll be after x amount of days? Some kind of formula to this......
    As was suggested number the days. \boxed{\begin{array}{lllllll}   {Su} & M & T & W & {Tr} & F & S  \\\hline   0 & 1 & 2 & 3 & 4 & 5 & 6  \\ \end{array} }
    If we divide 25 by 7 we get a remainder of 4.
    If today is Sunday then in 25 days it will be Thursday: 0+4=4. Four is Thursday.
    But if today is Friday in 25 days it will Tuesday: 5+4 divided by 7 has a remainder of 2 and 2 is Tuesday.

    So divide x by 7 to get a remainder. Add that to the number of the day and then find the remainder when divided by 7 that number day in x days later.
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  5. #5
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    Thank you both.
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