Magic Square

Number Theory Level 1

In a Magic Square of order 3, the sum of the numbers in each row, each column, and each diagonal is 15.

In the Magic Square below, find the value of z z

4 x 2 3 5 z y 1 6 \begin{matrix} 4 & \quad x\quad & 2 \\ 3 & 5 & z \\ y & 1 & 6 \end{matrix}


The answer is 7.

Victor Paes Plinio by Victor Paes Plinio , 21, Brazil

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2 solutions

Sharky Kesa
Jul 21, 2014

Troll!

6 + 2 + z = 15 6+2+z=15

8 + z = 15 8+z=15

z = 7 z=7

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In 3 × 3 magic square middle number is 5 and magic sum = 3 × middle number so z = 7

Sunil Pradhan - 6 years, 7 months ago
Vaibhav Borale
Jul 19, 2014

According to the information given, each column's elemental addition would be 15. Thus, 2+z+6 =15 Solving this we get, z=7

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