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Create a magic square (Posted on 2018-04-03) Difficulty: 2 of 5
-9, 9, -6, 6, -3, 3, 12, 15, x
Assign an integer to replace x so that the nine integers above can be arranged as a 3*3 magic square.

Rem: For conformity place the number "12" in the left corner of the top row. There are 2 complying squares .
Show both.

See The Solution Submitted by Ady TZIDON    
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Solution One way | Comment 1 of 2
Resequence the numbers as

-9, -6, -3, 3, 6, 9, 12, 15.

If x = 0, we have 9 consecutive multiples of 3, which can obviously be made into a 3x3 magic square.

The requested squares are

12  -3   0
-9   3   15
 6   9    -6

and its reflection,

12  -9  6
-3    3  9
 0   15 -6

Edited on April 3, 2018, 1:35 pm
  Posted by Steve Herman on 2018-04-03 11:08:35

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