### Brain Teasers

# CrossDigit 5

This teaser is similar to a crossword puzzle, but there is a twist. Instead of words, it uses digits 1-9 and empty (black in crossword puzzles) spaces in a 4 by 4 grid. The grid is arranged as follows:

A1 A2 A3 A4

B1 B2 B3 B4

C1 C2 C3 C4

D1 D2 D3 D4

With the help of the given rules and clues, you have to figure out which box contains which digit.

The rules are:

1: No row or column can have the same digit appearing more than once.

2: 0 (Zero) is not permissible.

3: Empty spaces cannot contain any digit. They are empty.

And the clues are:

1. The empty spaces are A3, A4, B4, C1, D1 and D2.

2. The sum of digits in row A equal 10.

3. The sum of digits in row B equal 19.

4. The sum of digits in row C equal 18.

5. The sum of digits in row D equal 3.

6. The sum of digits in column 1 equal 4.

7. The sum of digits in column 2 equal 24.

8. The sum of digits in column 3 equal 18.

9. The sum of digits in column 4 equal 4.

Now figure out which box contains which digit and do not forget the rules.

A1 A2 A3 A4

B1 B2 B3 B4

C1 C2 C3 C4

D1 D2 D3 D4

With the help of the given rules and clues, you have to figure out which box contains which digit.

The rules are:

1: No row or column can have the same digit appearing more than once.

2: 0 (Zero) is not permissible.

3: Empty spaces cannot contain any digit. They are empty.

And the clues are:

1. The empty spaces are A3, A4, B4, C1, D1 and D2.

2. The sum of digits in row A equal 10.

3. The sum of digits in row B equal 19.

4. The sum of digits in row C equal 18.

5. The sum of digits in row D equal 3.

6. The sum of digits in column 1 equal 4.

7. The sum of digits in column 2 equal 24.

8. The sum of digits in column 3 equal 18.

9. The sum of digits in column 4 equal 4.

Now figure out which box contains which digit and do not forget the rules.

### Hint

A number can be present more than once in the grid, but not the same row or column.### Answer

The solution grid looks like this:The digits are laid out as follows:

A1: 1, A2: 9, A3: Blank, A4: Blank

B1: 3, B2: 7, B3: 9, B4: Blank,

C1: Blank, C2: 8, C3: 7, C4: 3

D1: Blank, D2: Blank, D3: 2, D4: 1

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## Comments

This is a very good way to start. Your teaser is great. Numbers are my favorite category to have fun with. You will find you enjoy them even more once you master most ALL of the categories and/or levels of learning what numbers can do for you. Keep up the terrific work.

Cool!...

10 variables, 8 equations... but 16 inequalities!

I liked the way all possible solutions fall and only one remains valid.

10 variables, 8 equations... but 16 inequalities!

I liked the way all possible solutions fall and only one remains valid.

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