Results 1 to 4 of 4

Math Help - tricky math puzzle - algebra triangle

  1. #1
    Newbie
    Joined
    Nov 2007
    Posts
    2

    tricky math puzzle - algebra triangle

    arrange the numbers from 1 to 9 in such a way that you get equal sums on each side of the triangle (see the picture).It looks easy but it is a tricky one.I'll be terribly happy if you find the solution and the logic/system (if any )
    Attached Thumbnails Attached Thumbnails tricky math puzzle - algebra triangle-mathtriangle.jpg  
    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 tanyaprasentse View Post
    arrange the numbers from 1 to 9 in such a way that you get equal sums on each side of the triangle (see the picture).It looks easy but it is a tricky one.I'll be terribly happy if you find the solution and the logic/system (if any )


    ----9
    --5---4
    -1-----3
    8--2--6--7

    start with the vertex.. then try to get the sum.. you should notice that s1, s2=s1 + 1, and s3 = s1 + 2.. then for the remaining numbers, try to create pairs which is sumthing like that, i min, n1, then n2 = n1 + 1, n3 = n1 + 2.. by here, you should know which side to put them..
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Jun 2006
    From
    San Diego
    Posts
    101
    Another solution is

    Code:
       1
      6 4
     8   9
    2 5 7 3
    I put them down in threes.
    I started by putting 1, 2, and 3 in the corners.
    The sums at that point were 3, 4, and 5.
    Next I wanted to place 4,5, and 6 somewhere, but in a manner that leaves the sums as three consecutive numbers so the last step would even it out. So I did, and the sums that followed this step were 8, 9, and 10. It followed naturally to put the 7,8, and 9 in the remaining spots so that the final sums on each side came out to 17.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Nov 2007
    Posts
    2
    thank you very much
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Math puzzle
    Posted in the Math Challenge Problems Forum
    Replies: 5
    Last Post: February 3rd 2009, 07:37 AM
  2. Tricky Maths Puzzle! need help!!
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: October 10th 2008, 12:37 PM
  3. tricky math math question
    Posted in the Calculus Forum
    Replies: 1
    Last Post: January 13th 2008, 09:18 PM
  4. Tricky Math Homework Puzzle, Help!
    Posted in the Math Challenge Problems Forum
    Replies: 7
    Last Post: July 6th 2007, 09:31 PM
  5. Math egg puzzle Help
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: January 24th 2007, 08:20 AM

Search Tags


/mathhelpforum @mathhelpforum