Question

Use number 1,2,3,10,11,12,19,20,21 only once put them into 3*3 grid boxes so that they add upto 33 in every directions

Answer 1

21     1     11
  2    12    19
10    20     3

Answer 2

Answer:

Concept:

A magic square is a form of square in which the sum of each row, each column, and each diagonal is the same value. The magic constant is this quantity.

Step-by-step explanation:

Given:

A list of numbers : $1,2,3,10,11,12,19,20,21$

To find:

$3\times3$ grid boxes that sums upto $33$ in every directions with the given list of numbers

Solution:

Possible combinations can be explored as follow:

• For row-wise:

       $21+1+11 = 33$

       $2+12+19= 33$

       $10+20+3=33$

• For column-wise :

         $21+2+10=33$

         $1+12+20=33$

         $11+19+3 = 33$

So, the combinations hold to the value $33$ when summing up both row-wise and column-wise. And hence the $3\times3$ grid boxes can be represented as below:

   $21$    $1$     $11$

   $2$     $12$    $19$

   $10$    $20$    $3$

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