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Arrange numbers to get 15 in sum

(4 votes, average: 1.75 out of 5)

June 1, 2014 by puzzler 3 Comments

arrange these numbers to get 15 sum in all directions

arrange these numbers to get 15 sum in all directions

Arrange these numbers so that we get sum 15 by adding numbers from any direction(row, column, diagonal)
_2_|_6_|_4_
_1_|_5_|_7_
_3_|_8_|_9_

In HindiHide
_2_|_6_|_4_
_1_|_5_|_7_
_3_|_8_|_9_
in number’s ko is tarha arrange karein ke jis taraf se bhi add karein ’15’ answer aaye.
Click here to See SolutionHide Solution
Let’s first get the sequences whose sum is 15
1 5 9
1 6 8
2 4 9
2 5 8
2 6 7
3 4 8
3 5 7
4 5 6

Now in order to make diagonal, rows and columns sum to 15, middle element should be present in atleast 4 sequences.
There is only one numbers which is present in four sequences i.e. 5, so 5 will be the middle element.

Now corner number can be the number which is present in atleast three sequences, numbers present atleast in 3 sequences are 2, 4, 6, 8.

Numbers which are present only in two sequences can not be in corners and middle of the matrix, such numbers are 1, 3, 7, 9.

By using above logic, we can create a matrix easily.
_8_|_3_|_4_
_1_|_5_|_9_
_6_|_7_|_2_

Obviously there will be multiple possible answers by rotating the matrix.

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Comments

  1. Jan says

    February 13, 2016 at 5:54 am

    816 492 294 618 276 672 834 438
    357 357 753 753 951 159 159 951
    492 816 618 294 438 834 672 276

    Reply
  2. poonam says

    July 10, 2014 at 7:04 pm

    6 7 2
    1 5 9
    8 3 4

    Reply
  3. Kashish Lakhani Gunja says

    June 1, 2014 at 6:30 am

    8 1 6
    3 5 7
    4 9 2

    Reply

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