Putting the correct digits in a 4X4 cells to equal 34?

Question

draw a table that has 4 rows and 4 columns that makes 16 cells in total. now you can put digits in these cells from 1 to 16 and each digit should be used once. the goal is to put digits in a way that when summing each row and column, it should be equal to 34. when you did it, please clarify it to other readers in a simple way.

thanks

Answer 1

This construction is called a Magic Square,

and they have been studied extensively,

over thousands of years.

For 4x4 there are 880 variations

(not counting rotations and reflections).

In addition to the rows, columns, and diagonals,

you can arrange it so that the 2x2 boxes in each

corner, the 2x2 box in the center, the ones in the

centers of the edges, and other combinations

of 4 boxes also add up to 34.

The Wikipedia article discusses them

at length, including techniques for

constructing them, and it gives

several famous examples.

http://en.wikipedia.org/wiki/Magic_squar...

.

Answer 2

    16     3     2    13

     5    10    11     8

     9     6     7    12

     4    15    14     1

the sum of each row, each colon and each diagonal gives 34.

ex: 16+3+2+13=34

16+5+9+4=34