Math Brain Teaser?

Question

In a grid that looks like a tic tac toe grid (3 columns/rows of 3 boxes each - 9 boxes total), using the #s 1-9 only to fill the boxes, each row & column must add up to any same number. The same # must be the sum horizontally, vertically and diagonally. You may use each number (1-9) only once in the grid. Answers?

Answer 1

You have got so many answers giving specific solution to the problem under reference ! Instead, I would like to give you the formula for this sort of problems.
Take total of the given numbers - here 1 to 9 - 45
Divide the sum by 3 ~ 45/3 = 15 - this would be the sum of the resultant table.

Now your table shall look something like below :-

(x+1) (x+2) (x-3)
(x- 4) (x) (x+4)
(x+3) (x-2) (x-1)

Where x = sum/3 = 5 in the given problem

U can interchange the elements of the table in any manner, however, ensuring that the sum of any Row/ Column shall be 3x

This will provide solution for any problems of this sort.

Answer 2

8 1 6
3 5 7
4 9 2


They all add up to 15.
Similarly, you can do the same for any odd size n x n grid.

i.e. the 5x5 grid with numbers from 1 to 25. You start at the top middle slot and put one. Then you always go up one and right one and count up. If you reach the topmost row, you go over down to the first, if you are at the rightmost, you go over to the left. If the spot is already taken, go down 1 slot.
i.e:

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

etc.. follow 1, 2, 3 ... and youll see the pattern

Answer 3

1 6 8
9 2 4
5 7 3

Answer 4

I like this way, but it's your choice

6 1 8
7 5 3
2 9 4

Answer 5

Here is one way:

4 9 2
3 5 7
8 1 6

Answer 6

magic square, a square divided into parts with letters or numbers inscribed therein that, whether combined vertically, horizontally, or diagonally, form the same sum or the same word. In ancient times such squares were thought to have magic properties, perhaps connected with the stars. Magic squares have been found in such widely divergent cultures as ancient China, Egypt, and India, as well as W Europe. Example:

4 9 2
3 5 7
8 1 6

Answer 7

186
537
942


also

3 4 9

7 7 2

6 5 5
they all add up to 16

Answer 8

sophisticated aspect. look into over yahoo and bing. that could actually help!