Magic Square: Missing Entry
$begingroup$
I found a $3 times 3$ magic square and cannot figure out the missing digit. It is multiple choice (and just a game) but I want to know the pattern.
begin{align*}
65 && 69 && 13\
14 && 63 && 22\
18 && ? && 17
end{align*}
The possible answers are 78, 85, 98, 51.
Thank you!
pattern-recognition
edited Jan 25 at 23:54
David G. Stork
11.1k41432
asked Jan 25 at 23:34
user147485user147485
676
$endgroup$
add a comment |
$begingroup$
I found a $3 times 3$ magic square and cannot figure out the missing digit. It is multiple choice (and just a game) but I want to know the pattern.
begin{align*}
65 && 69 && 13\
14 && 63 && 22\
18 && ? && 17
end{align*}
The possible answers are 78, 85, 98, 51.
Thank you!
pattern-recognition
edited Jan 25 at 23:54
David G. Stork
11.1k41432
asked Jan 25 at 23:34
user147485user147485
676
$endgroup$
4
$begingroup$
That is not a magic square. The definition of a magic square says that every row and column and the two main diagonals add up to the same number, which your square does not satisfy. Are there any rules given for the square?
$endgroup$
– kccu
Jan 25 at 23:46
$begingroup$
In what sense is that a "magic square"?
$endgroup$
– fleablood
Jan 26 at 1:55
$begingroup$
Why would you think that there is a pattern? You said that the numbers are put in a box. There's no law that says we can't put in any number we want is there?
$endgroup$
– fleablood
Jan 26 at 1:58
add a comment |
$begingroup$
I found a $3 times 3$ magic square and cannot figure out the missing digit. It is multiple choice (and just a game) but I want to know the pattern.
begin{align*}
65 && 69 && 13\
14 && 63 && 22\
18 && ? && 17
end{align*}
The possible answers are 78, 85, 98, 51.
Thank you!
pattern-recognition
edited Jan 25 at 23:54
David G. Stork
11.1k41432
asked Jan 25 at 23:34
user147485user147485
676
$endgroup$
I found a $3 times 3$ magic square and cannot figure out the missing digit. It is multiple choice (and just a game) but I want to know the pattern.
begin{align*}
65 && 69 && 13\
14 && 63 && 22\
18 && ? && 17
end{align*}
The possible answers are 78, 85, 98, 51.
Thank you!
pattern-recognition
pattern-recognition
edited Jan 25 at 23:54
David G. Stork
11.1k41432
asked Jan 25 at 23:34
user147485user147485
676
edited Jan 25 at 23:54
David G. Stork
11.1k41432
asked Jan 25 at 23:34
user147485user147485
676
edited Jan 25 at 23:54
David G. Stork
11.1k41432
edited Jan 25 at 23:54
David G. Stork
11.1k41432
edited Jan 25 at 23:54
David G. Stork
11.1k41432
11.1k41432
asked Jan 25 at 23:34
user147485user147485
676
asked Jan 25 at 23:34
user147485user147485
676
asked Jan 25 at 23:34
user147485user147485
676
676
4
$begingroup$
That is not a magic square. The definition of a magic square says that every row and column and the two main diagonals add up to the same number, which your square does not satisfy. Are there any rules given for the square?
$endgroup$
– kccu
Jan 25 at 23:46
$begingroup$
In what sense is that a "magic square"?
$endgroup$
– fleablood
Jan 26 at 1:55
$begingroup$
Why would you think that there is a pattern? You said that the numbers are put in a box. There's no law that says we can't put in any number we want is there?
$endgroup$
– fleablood
Jan 26 at 1:58
add a comment |
4
$begingroup$
That is not a magic square. The definition of a magic square says that every row and column and the two main diagonals add up to the same number, which your square does not satisfy. Are there any rules given for the square?
$endgroup$
– kccu
Jan 25 at 23:46
$begingroup$
In what sense is that a "magic square"?
$endgroup$
– fleablood
Jan 26 at 1:55
$begingroup$
Why would you think that there is a pattern? You said that the numbers are put in a box. There's no law that says we can't put in any number we want is there?
$endgroup$
– fleablood
Jan 26 at 1:58
4
4
$begingroup$
That is not a magic square. The definition of a magic square says that every row and column and the two main diagonals add up to the same number, which your square does not satisfy. Are there any rules given for the square?
$endgroup$
– kccu
Jan 25 at 23:46
$begingroup$
That is not a magic square. The definition of a magic square says that every row and column and the two main diagonals add up to the same number, which your square does not satisfy. Are there any rules given for the square?
$endgroup$
– kccu
Jan 25 at 23:46
$begingroup$
In what sense is that a "magic square"?
$endgroup$
– fleablood
Jan 26 at 1:55
$begingroup$
In what sense is that a "magic square"?
$endgroup$
– fleablood
Jan 26 at 1:55
$begingroup$
Why would you think that there is a pattern? You said that the numbers are put in a box. There's no law that says we can't put in any number we want is there?
$endgroup$
– fleablood
Jan 26 at 1:58
$begingroup$
Why would you think that there is a pattern? You said that the numbers are put in a box. There's no law that says we can't put in any number we want is there?
$endgroup$
– fleablood
Jan 26 at 1:58
add a comment |
1 Answer
1
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oldest
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$begingroup$
Interchange the digits in the entries of the first column. If you choose $98$ the columns of the resulting matrix are in a simple relation.
answered Jan 26 at 10:35
Christian BlatterChristian Blatter
175k8115327
$endgroup$
add a comment |
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1 Answer
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oldest
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$begingroup$
Interchange the digits in the entries of the first column. If you choose $98$ the columns of the resulting matrix are in a simple relation.
answered Jan 26 at 10:35
Christian BlatterChristian Blatter
175k8115327
$endgroup$
add a comment |
$begingroup$
Interchange the digits in the entries of the first column. If you choose $98$ the columns of the resulting matrix are in a simple relation.
answered Jan 26 at 10:35
Christian BlatterChristian Blatter
175k8115327
$endgroup$
add a comment |
$begingroup$
Interchange the digits in the entries of the first column. If you choose $98$ the columns of the resulting matrix are in a simple relation.
answered Jan 26 at 10:35
Christian BlatterChristian Blatter
175k8115327
$endgroup$
Interchange the digits in the entries of the first column. If you choose $98$ the columns of the resulting matrix are in a simple relation.
answered Jan 26 at 10:35
Christian BlatterChristian Blatter
175k8115327
edited Jan 26 at 14:57
answered Jan 26 at 10:35
Christian BlatterChristian Blatter
175k8115327
answered Jan 26 at 10:35
Christian BlatterChristian Blatter
175k8115327
answered Jan 26 at 10:35
Christian BlatterChristian Blatter
175k8115327
175k8115327
add a comment |
add a comment |
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4
$begingroup$
That is not a magic square. The definition of a magic square says that every row and column and the two main diagonals add up to the same number, which your square does not satisfy. Are there any rules given for the square?
$endgroup$
– kccu
Jan 25 at 23:46
$begingroup$
In what sense is that a "magic square"?
$endgroup$
– fleablood
Jan 26 at 1:55
$begingroup$
Why would you think that there is a pattern? You said that the numbers are put in a box. There's no law that says we can't put in any number we want is there?
$endgroup$
– fleablood
Jan 26 at 1:58