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Missing Digit (Posted on 2007-06-04) Difficulty: 4 of 5
Susan was about to have her puzzle published as New Scientist's Enigma for the week when she discovered that one of the numbers she had pre-filled in was smudged beyond recognition. It looked like this:

"Fill in each of the empty spaces with a non-zero digit so that the rows, columns and diagonals add up to the totals shown:

20

1

15

3

8

7

20

X

29

20

22

15

15

9

please send the completed grid."

where the numbers at the bottom represent the sums of the columns in the 4x4 grid; those at the right represent the totals of the rows; the 9 at the lower right is the sum of the main diagonal and the 20 at the upper right represents the total of the diagonal going from lower left to upper right.

The x represents the smudged digit.

The puzzle Susan had in mind had only one solution. Can you find that solution?

See The Solution Submitted by Charlie    
Rating: 3.6667 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Puzzle Thoughts Comment 5 of 5 |
One  of the valid solutions are as follows:
                   20
                   /
1---6---5---3    ->  15 
2---1---2---3    ->    8 
9---7---1---3    ->  20 
8---8----7---6    ->  29
|     |      |    |
20 22 15 15

Edited on February 25, 2024, 9:46 am
  Posted by K Sengupta on 2024-02-25 09:45:54

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