Jump to content
BrainDen.com - Brain Teasers
  • 0
Sign in to follow this  
bonanova

Question

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

 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.

Share this post


Link to post
Share on other sites

10 answers to this question

Recommended Posts

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

Yup.

which sums horizontally, vertically and diagonally to 45

Share this post


Link to post
Share on other sites
  • 0
Guest

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?

Share this post


Link to post
Share on other sites
  • 0
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.

Share this post


Link to post
Share on other sites
  • 0
Is it just me or was this very easy?



28 15 2

12 8 25
5 22 18
subtract 8 from each number


20 7 -6

4 0 17
-3  14 10

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 ... !

Share this post


Link to post
Share on other sites
  • 0
Guest
Hint - the spoiler shows the new magic square.

How was it constructed?

4  9  8

11 7  3

6  5 10

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

Share this post


Link to post
Share on other sites
  • 0
Guest

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

Share this post


Link to post
Share on other sites
  • 0
Guest
do the same thing to each of the numbers to get a new srt of numbers.

Bit of a late entry but there is an even simpler solution.

Do this 'mathematical thing' to each number: multiply by zero and add seven

Share this post


Link to post
Share on other sites

Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.

Guest
Answer this question...

×   Pasted as rich text.   Paste as plain text instead

  Only 75 emoji are allowed.

×   Your link has been automatically embedded.   Display as a link instead

×   Your previous content has been restored.   Clear editor

×   You cannot paste images directly. Upload or insert images from URL.

Loading...
Sign in to follow this  

  • Recently Browsing   0 members

    No registered users viewing this page.

×
×
  • Create New...