Answer:
Our solution is option b, or in other words 3.
Step-by-step explanation:
This is more of a " guess and try " question. Say that 3 is the solution. If that is so, let us prove it, by arranging the values such that their addition is equivalent to 3 in each row.
Take - 3 as the first value in the first row. What other combinations can go with this, but still meet our requirement of a total of 3? The other two numbers must have a sum of 6, so let's list all possibilities -
{ 5 and 1 }
{ 4 and 2 }
Let us try 5 and 1. We should receive the following table so far -
| - 3 | 5 | 1 |
| ? | ? | ? |
| ? | ? | ? | ...... Now for this second row let - 2 be the starting value. The only possible values in the row should have a sum of 5 to have a total of 3 -
{ 3 and 2 }
This is the only possibility we have here. Plug it into our table,
| - 3 | 5 | 1 |
| - 2 | 3 | 2 |
| ? | ? | ? | .... Let's begin with the value - 1 for the third row. The only remaining values that could fill this row are 0 and 4. { - 1, 0, and 4 } add to 3, and hence the sum of the number in each row is a constant, 3. It has been proved.
| - 3 | 5 | 1 |
| - 2 | 3 | 2 | - This is our table.
| - 1 | 0 | 4 |
