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Below is a magic square, meaning that the sum of the numbers in each row, in each column, and in each of the  main diagonals are equal. What is the value of \(n\)?
 

 

 

 Nov 29, 2020
 #1
avatar+112000 
+1

The top row adds to 2n+1

Find a row or column or diagonal that equals something different from that.

 

Put them equal to each other and solve.

 

Show us what you try. and tell us the answer if you get one.

 Nov 29, 2020
 #2
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0

I tried my best and got no luck which is why I asked you guys for help

Guest Nov 29, 2020
 #3
avatar+112000 
0

I have given you help and I have asked you to respond. (Which you have not done, complaining does not count)

 

Add up the middle row, what do you get?

Melody  Nov 29, 2020
 #5
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+1

why are you having difficulty with such a simple question. As Melody suggests:

 

Top row =(n+1) + 1 + (n - 1)=Diagonal from top left-hand corner=(n+1) + (2n-9) + 2

 

(n+1) + 1 + (n - 1)=(n+1) + (2n-9) + 2


2n + 1 =3n - 6


3n - 2n =6 + 1


n == 7

Guest Nov 29, 2020
 #4
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0

I got 5n-9n is that correct?

 Nov 29, 2020
 #7
avatar+112000 
+1

Do you mean the sum of the middle row?

 

3+2n-9+n

= +2n+n   +3-9

=     3n         -6

 

Now the top row was   2n + 1

and the middle row is   3n - 6

so

2n + 1 = 3n - 6

2n + 1 -2n= 3n - 6 -2n

           + 1 = 1n - 6

     + 1 +6 = 1n - 6 +6

           7   =  n

            n = 7

Melody  Nov 30, 2020
 #6
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0

n = 7

 Nov 30, 2020

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