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 Sum Rotation (Posted on 2004-05-11)
The numbers 1 through 9 are arranged in a 3 x 3 grid so that each number is in the grid exactly once. They are arranged such that the top row plus the middle row gives the bottom row. If the grid forms another such addition when it is rotated 90 degrees to the left, what is its composition?

(Note: The numbers don't flip, for example 6 doesn't turn into 9.)

 No Solution Yet Submitted by Gamer Rating: 3.2500 (4 votes)

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 impossible | Comment 9 of 16 |
this would have to be impossible.

You can narrow it down to a possible of 10 possible ways by figuring there is only 4 possible spots for the digits 2 and 1

?**
?**
???

that leaves 10 possible ways.

?21 ?12 ?2? ?1? ??2 ??1 ??? ??? ?2? ?1?
??? ??? ?1? ?2? ?1? ?2? ?21 ?12 ??1 ??2
??? ??? ??? ??? ??? ??? ??? ??? ??? ???

Now to do it place in the 2 blanks in upper right corner and work from there. It doesnt matter what you put in the blanks it will always fail. You can cross out the first 2 because the first ? is always going to be 3 and that means the ? below it has to be either 4 5 or 6 and to add up to be those would requires 3 2 or 1 so it would be impossible for those. And im getting tired of typing so you can figure out the rest. Hope this helped someone...

 Posted by Shane Anderson on 2004-05-14 20:51:01

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