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Added clarification of the word SHIFT.
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Will.Octagon.Gibson
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To allow new users to solve this puzzle and earn reputation points, I encourage all users whose reputation is 200 or more to not post an answer until 48 hours after this question is posted. Thank you!


Here is a simple magic square, the three columns, three rows, and two diagonals adding up 72:

+------+------+------+
|      |      |      |
|  27  |  20  |  25  |
|      |      |      |
+------+------+------+
|      |      |      |
|  22  |  24  |  26  |
|      |      |      |
+------+------+------+
|      |      |      |
|  23  |  28  |  21  |
|      |      |      |
+------+------+------+

The puzzle is to convert it into a multiplying magic square, in which the numbers in all the eight lines if multiplied together give the same product in every case. You are not allowed to change, or add to, any of the figures in a cell or use any arithmetical sign whatever! But you may shift the two figures within a cell. Thus, you may write 27 as 72, if you like. These simple conditions make the puzzle absurdly easy, if you once hit on the idea; if you miss it, it will appear to be an utter impossibility.


Clarification: shift (verb): Move or cause to move from one place to another, especially over a small distance.


Puzzle made by: Henry Dudeney.

To allow new users to solve this puzzle and earn reputation points, I encourage all users whose reputation is 200 or more to not post an answer until 48 hours after this question is posted. Thank you!


Here is a simple magic square, the three columns, three rows, and two diagonals adding up 72:

+------+------+------+
|      |      |      |
|  27  |  20  |  25  |
|      |      |      |
+------+------+------+
|      |      |      |
|  22  |  24  |  26  |
|      |      |      |
+------+------+------+
|      |      |      |
|  23  |  28  |  21  |
|      |      |      |
+------+------+------+

The puzzle is to convert it into a multiplying magic square, in which the numbers in all the eight lines if multiplied together give the same product in every case. You are not allowed to change, or add to, any of the figures in a cell or use any arithmetical sign whatever! But you may shift the two figures within a cell. Thus, you may write 27 as 72, if you like. These simple conditions make the puzzle absurdly easy, if you once hit on the idea; if you miss it, it will appear to be an utter impossibility.


Puzzle made by: Henry Dudeney.

To allow new users to solve this puzzle and earn reputation points, I encourage all users whose reputation is 200 or more to not post an answer until 48 hours after this question is posted. Thank you!


Here is a simple magic square, the three columns, three rows, and two diagonals adding up 72:

+------+------+------+
|      |      |      |
|  27  |  20  |  25  |
|      |      |      |
+------+------+------+
|      |      |      |
|  22  |  24  |  26  |
|      |      |      |
+------+------+------+
|      |      |      |
|  23  |  28  |  21  |
|      |      |      |
+------+------+------+

The puzzle is to convert it into a multiplying magic square, in which the numbers in all the eight lines if multiplied together give the same product in every case. You are not allowed to change, or add to, any of the figures in a cell or use any arithmetical sign whatever! But you may shift the two figures within a cell. Thus, you may write 27 as 72, if you like. These simple conditions make the puzzle absurdly easy, if you once hit on the idea; if you miss it, it will appear to be an utter impossibility.


Clarification: shift (verb): Move or cause to move from one place to another, especially over a small distance.


Puzzle made by: Henry Dudeney.

Added grid to magic square
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Will.Octagon.Gibson
  • 13.5k
  • 2
  • 32
  • 135

To allow new users to solve this puzzle and earn reputation points, I encourage all users whose reputation is 200 or more to not post an answer until 48 hours after this question is posted. Thank you!


Here is a simple magic square, the three columns, three rows, and two diagonals adding up 72:

27 20 25

22 24 26

23 28 21



+------+------+------+
|      |      |      |
|  27  |  20  |  25  |
|      |      |      |
+------+------+------+
|      |      |      |
|  22  |  24  |  26  |
|      |      |      |
+------+------+------+
|      |      |      |
|  23  |  28  |  21  |
|      |      |      |
+------+------+------+

The puzzle is to convert it into a multiplying magic square, in which the numbers in all the eight lines if multiplied together give the same product in every case. You are not allowed to change, or add to, any of the figures in a cell or use any arithmetical sign whatever! But you may shift the two figures within a cell. Thus, you may write 27 as 72, if you like. These simple conditions make the puzzle absurdly easy, if you once hit on the idea; if you miss it, it will appear to be an utter impossibility.


Puzzle made by: Henry Dudeney.

To allow new users to solve this puzzle and earn reputation points, I encourage all users whose reputation is 200 or more to not post an answer until 48 hours after this question is posted. Thank you!


Here is a simple magic square, the three columns, three rows, and two diagonals adding up 72:

27 20 25

22 24 26

23 28 21

The puzzle is to convert it into a multiplying magic square, in which the numbers in all the eight lines if multiplied together give the same product in every case. You are not allowed to change, or add to, any of the figures in a cell or use any arithmetical sign whatever! But you may shift the two figures within a cell. Thus, you may write 27 as 72, if you like. These simple conditions make the puzzle absurdly easy, if you once hit on the idea; if you miss it, it will appear to be an utter impossibility.


Puzzle made by: Henry Dudeney.

To allow new users to solve this puzzle and earn reputation points, I encourage all users whose reputation is 200 or more to not post an answer until 48 hours after this question is posted. Thank you!


Here is a simple magic square, the three columns, three rows, and two diagonals adding up 72:



+------+------+------+
|      |      |      |
|  27  |  20  |  25  |
|      |      |      |
+------+------+------+
|      |      |      |
|  22  |  24  |  26  |
|      |      |      |
+------+------+------+
|      |      |      |
|  23  |  28  |  21  |
|      |      |      |
+------+------+------+

The puzzle is to convert it into a multiplying magic square, in which the numbers in all the eight lines if multiplied together give the same product in every case. You are not allowed to change, or add to, any of the figures in a cell or use any arithmetical sign whatever! But you may shift the two figures within a cell. Thus, you may write 27 as 72, if you like. These simple conditions make the puzzle absurdly easy, if you once hit on the idea; if you miss it, it will appear to be an utter impossibility.


Puzzle made by: Henry Dudeney.

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RobPratt
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Will.Octagon.Gibson
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