Results 1 to 4 of 4

Math Help - maths puzzles - need help

  1. #1
    Junior Member
    Joined
    Oct 2008
    Posts
    57

    maths puzzles - need help

    In how many ways can the number 2008 be written as the sum of consecutive positive integers?

    Arrange 5 red queens and 3 blue queens on a 55 board so that no queen attacks a queen of the other colour.

    Consider 4 (dimensionless) flies, 2 males and 2 females. They are situated at the corners of 1 square meter. Every fly tries to reach the male/female fly in front of her/him.
    Since the flies are flying towards another, they will meet each other at a certain time in the center of the square. How far does each fly fly?

    Follow Math Help Forum on Facebook and Google+

  2. #2
    Eater of Worlds
    galactus's Avatar
    Joined
    Jul 2006
    From
    Chaneysville, PA
    Posts
    3,001
    Thanks
    1
    That third problem is just a variation on the famous 'four corner bug problem'. They even used this on the show 'NUMB3Rs'.

    Google it and you will find lots. It is based on a logarithmic spiral.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Oct 2008
    Posts
    57

    thanks!

    hy thanks for your help!
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Senior Member
    Joined
    Dec 2007
    From
    Melbourne
    Posts
    428
    In how many ways can the number 2008 be written as the sum of consecutive positive integers?
    Suppose 2008 can be written as a sum of n positive integers.
    If n is odd then the number in the middle of the consecutive integers is 2008/n. Since this is an integer n|2008 => n=1 or 251. n=1 works but n=251 includes negative integers.
    If n is even, the two middle numbers are 2008/n-0.5 and 2008/n+0.5, so 2(2008)/n is odd =>16|n. Let n = 16m. m|2008 since 16m|4016 and m is odd. m=1 or 251 but 16(251) is too big and will get negative integers so the only possible values for n are 16 and 1
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Puzzles
    Posted in the Math Puzzles Forum
    Replies: 1
    Last Post: October 10th 2011, 11:13 AM
  2. You'll like these puzzles
    Posted in the Math Puzzles Forum
    Replies: 0
    Last Post: July 8th 2010, 08:20 AM
  3. More puzzles to keep you busy
    Posted in the Math Puzzles Forum
    Replies: 0
    Last Post: July 7th 2010, 03:46 PM
  4. number puzzles
    Posted in the Algebra Forum
    Replies: 3
    Last Post: November 7th 2007, 11:15 AM
  5. Exciting puzzles !!!
    Posted in the Math Challenge Problems Forum
    Replies: 4
    Last Post: October 25th 2006, 01:55 PM

Search Tags


/mathhelpforum @mathhelpforum