MathDB

Given a board of

3 \times 3

you want to write the numbers

1, 2, 3, 4, 5, 6, 7, 8

and a number in their boxes positive integer

M

, not necessarily different from the above. The goal is that the sum of the three numbers in each row be the same

a)

Find all the values of

M

for which this is possible.

b)

For which of the values of

M

found in

a)

is it possible to arrange the numbers so that no only the three rows add the same but also the three columns add the same?

Problem Statement