Question

Fill this square using all the numbers from 3 to 11 so that the total of all sides is 21.

Answer 1

Answer:

Let us fix 26 on the topmost left-hand side box.

Taking the diagonal of the square, we have

26+25=51 and 75−51=24

∴ put 24 at the end of this diagonal.

Fix 22 on the top most-right side box.

Taking the diagonal in which 22 lies, we have

22+25=47 and 75−47=28

∴ put 28 at the end of this diagonal.

Clearly,

In 1  

st

 row: The required number =75−(26+22)=75−48=27

In 1  

st

 column: The required number =75−(26+28)=75−54=21

In 2  

nd

 row: The required number =75−(21+25)=75−46=29

In 2  

nd

  column: The required number =75−(28+24)=75−52=27

∴ the complete magic square is as shown below:

26 27  22  

21  25  29  

28  23  24  

Step-by-step explanation:

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