Final Answer:
The missing value is C. 40.
Step-by-step explanation:
In the given matrix, the elements Y, W, N, and X represent the sum of the numbers in each respective row or column.
To find the missing value, we can observe that the sum of the first row is 10, and the sum of the second row is 15.
Therefore, the missing value (W) must be 15 - 10 = 5.
Similarly, the sum of the first column is 10, and the sum of the second column is 35. Hence, the missing value (N) in the first column must be 35 - 10 = 25.
Now, we can determine the missing value (X) in the second column.
The sum of the second column is 35, and we already know that N is 25. Therefore, X must be 35 - 25 = 10.
Finally, we can find the missing value in the second row (Y). The sum of the second row is 15, and we already know that W is 5.
Hence, Y must be 15 - 5 = 10.
In summary, the missing values are W=5, Y=10, N=25, and X=10, which completes the matrix.