Jump to content


Welcome to BrainDen.com - Brain Teasers Forum

Welcome to BrainDen.com - Brain Teasers Forum. Like most online communities you must register to post in our community, but don't worry this is a simple free process. To be a part of BrainDen Forums you may create a new account or sign in if you already have an account.
As a member you could start new topics, reply to others, subscribe to topics/forums to get automatic updates, get your own profile and make new friends.

Of course, you can also enjoy our collection of amazing optical illusions and cool math games.

If you like our site, you may support us by simply clicking Google "+1" or Facebook "Like" buttons at the top.
If you have a website, we would appreciate a little link to BrainDen.

Thanks and enjoy the Den :-)
Guest Message by DevFuse
 

Photo
- - - - -


  • Please log in to reply
10 replies to this topic

#1 bonanova

bonanova

    bonanova

  • Moderator
  • PipPipPipPip
  • 6161 posts
  • Gender:Male
  • Location:New York

Posted 15 January 2008 - 11:23 AM

Consider this 3x3 magic square, which sums horizontally, vertically and diagonally to 45:

[codebox] 5 22 18

28 15 2

12 8 25[/codebox]
Find a way to convert it to another 3x3 magic square that sums to 21.
  • 0

Vidi vici veni.


#2 Writersblock

Writersblock

    Senior Member

  • Members
  • PipPipPipPip
  • 597 posts

Posted 15 January 2008 - 06:22 PM

Do you mean to use a single mathmatical operator on all 9 numbers?
  • 0

#3 Scraff

Scraff

    Advanced Member

  • Members
  • PipPipPip
  • 287 posts

Posted 15 January 2008 - 07:17 PM

Do you mean to use a single mathmatical operator on all 9 numbers?

Yup.

which sums horizontally, vertically and diagonally to 45


  • 0

#4 Writersblock

Writersblock

    Senior Member

  • Members
  • PipPipPipPip
  • 597 posts

Posted 15 January 2008 - 09:32 PM

Just to clarify, I didn't mean a single operator in solving the puzzle - that I knew.

I refer to the means of conversion - does

Find a way to convert it

mean you must do the same mathmatical "thing" to all 9 numbers and get them to "solve" to 21?
  • 0

#5 bonanova

bonanova

    bonanova

  • Moderator
  • PipPipPipPip
  • 6161 posts
  • Gender:Male
  • Location:New York

Posted 15 January 2008 - 10:14 PM

Just to clarify, I didn't mean a single operator in solving the puzzle - that I knew.

I refer to the means of conversion - does mean you must do the same mathmatical "thing" to all 9 numbers and get them to "solve" to 21?

Without commenting on the nature of what you do,
do the same thing to each of the numbers to get a new srt of numbers.
The new set of numbers, each in its respective place, forms a 21 magic square.
  • 0

Vidi vici veni.


#6 unreality

unreality

    Senior Member

  • Members
  • PipPipPipPip
  • 6375 posts

Posted 15 January 2008 - 10:52 PM

Is it just me or was this very easy?

Spoiler for my answer, I think... but too easy?

  • 0

#7 bonanova

bonanova

    bonanova

  • Moderator
  • PipPipPipPip
  • 6161 posts
  • Gender:Male
  • Location:New York

Posted 16 January 2008 - 04:54 AM

Is it just me or was this very easy?

Spoiler for my answer, I think... but too easy?

Well, [1] yes that works :D and [2] it is too easy. ;)

To be more responsive to Writersblock's question: What I have in mind is not mathematical.

The numbers have a property that surprisingly creates a new magic square.
That the new MS sums to 21 is just a piece of information that lets you verify that the MS you will have found is the one I had in mind.

Have Fun ... !
  • 0

Vidi vici veni.


#8 bonanova

bonanova

    bonanova

  • Moderator
  • PipPipPipPip
  • 6161 posts
  • Gender:Male
  • Location:New York

Posted 17 January 2008 - 08:14 AM

Hint - the spoiler shows the new magic square.
How was it constructed?
Spoiler for new magic square

  • 0

Vidi vici veni.


#9 Browne85

Browne85

    Junior Member

  • Members
  • PipPip
  • 24 posts

Posted 17 January 2008 - 03:03 PM

Hint - the spoiler shows the new magic square.
How was it constructed?

Spoiler for new magic square



It is just the number of letters in the original numbers. 5 has 4 letters etc.
  • 0

#10 srt_anon

srt_anon

    Newbie

  • Members
  • Pip
  • 12 posts

Posted 18 January 2008 - 08:26 PM

Oddly enough you can also just start with the lowest # in the original square (the 2)
make it a 3... then for each number in sequential order make it a 4, 5, 6, ...

2->3
5->4
8->5
...
28->11
  • 0




0 user(s) are reading this topic

0 members, 0 guests, 0 anonymous users