Magic Square Problem

Logic Level 2

What is the value of x x in the order 3 magic square if the magic constant is 19?

Definition : the magic constant of a magic square has the value of the sum of all rows, diagonals, and columns of the square.

4 1 3 4\frac13 2 1 3 2\frac13 10 1 3 10 \frac13 6 1 3 6\frac13

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1 solution

Drex Beckman
Jan 11, 2016

Here is something about order 3 magic squares. They are in this form:

If we look at the 2nd row, for example, we know it must add to 19: x + 4 + x + x 4 = 19 = 3 x x+4+x+x-4=19=3x We get a result of x = 19 / 3 = 6 1 3 x = 19/3=6\frac{1}{3} .

Please change the answer from 6 2 3 6\frac {2}{3} to 6 1 3 6\frac {1}{3}

Shaun Leong - 5 years, 4 months ago

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Thanks @Shaun Leong for catching the problem. I didn't notice until now. I changed the problem.

Drex Beckman - 5 years, 4 months ago

Should the solution is 6 1 3 6\frac{1}{3} ?

Tran Hieu - 5 years, 4 months ago

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Yeah, @Shaun Leong is correct, I messed up the multiple choice answers. Since I cannot modify the multiple choice, I just changed the question. Sorry for that, I did not even notice until now.

Drex Beckman - 5 years, 4 months ago

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Thanks. @Shaun Leong @Tran Hieu I've updated the problem statement and answer choices.

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Brilliant Mathematics Staff - 5 years, 4 months ago

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