2.Fill this square using all the numbers from 21 to 29. Rule: The total of each side is 75.
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:
