MAGIC SQUARE 3X3 SUM=27:
In a magic square 3x3, if we take numbers from 1 to 9 then the magic sum equal to 15. The magic square is as follows:
4
|
9
|
2
|
3
|
5
|
7
|
8
|
1
|
6
|
In the above magic square 3x3 magic sum is 15. In the above magic square 3x3 we are used numbers from1 to 9 arranged in 9 boxes. In any direction the sum equal to 15.
Row wise 4+9+2=15, 3+5+7=15, 8+1+6=15.
Column wise 4+3+8=15, 9+5+1=15, 2+7+6=15.
Diagnol wise: 4+5+6=15, 2+5+8=15.
The above magic square also can be written as follows:
5-1
|
5+4
|
5-3
|
5-2
|
5
|
5+2
|
5+3
|
5-4
|
5+1
|
In the above figure , shows the relation between middle number and other numbers. In the magic square we are taken numbers from 1 to 9 and number 5 is between 1 to 9.
If we write x in place of 5 in above magic square.
X-1
|
X+4
|
X-3
|
X-2
|
X
|
X+2
|
X+3
|
X-4
|
X+1
|
Now we will write different magic square’s with different magic sum’s
MAGIC SUM=27. NUMBERS: 5,6,7,8,9,10,11,12,13 MIDDLE NUMBER: 9
Middle number= magic sum/3
= 27/3
= 9.
Write 4 numbers to the left of 9, and write 4 consecutive numbers to the right of the 9.
Then all the numbers are 5,6,7,8,9,10,11,12,13.
Middle number= magic sum/3
= 27/3
= 9.
Write 4 numbers to the left of 9, and write 4 consecutive numbers to the right of the 9.
Then all the numbers are 5,6,7,8,9,10,11,12,13.
9-1
|
9+4
|
9-3
|
9-2
|
9
|
9+2
|
9+3
|
9-4
|
9+1
|
Result of above magic square:
8
|
13
|
6
|
7
|
9
|
11
|
12
|
5
|
10
|
Comments
Post a Comment