The correct option is
C A = 5
B = 5
The values of A and B can be listed as:
For first option:
Given values are A = 0 and B = 1
∴ We have to find value of 56.06 + 8.16 + 31.47
Calculating 56.06 + 8.16 + 31.47 using the standard method, we get:
The final value is 95.69, which is not equal to 96.59.
∴ Option 1 is wrong.
For second option:
Given values are A = 1 and B = 0
∴ We have to find value of 56.16 + 8.06 + 31.47
Calculating 56.16 + 8.06 + 31.47 using the standard method, we get:
The final value is 95.69, which is not equal to 96.59.
∴ Option 2 is wrong.
For third option:
Given values are A = 5 and B = 5
∴ We have to find value of 56.56 + 8.56 + 31.47
Calculating 56.56 + 8.56 + 31.47 using the standard method, we get:
The final value matches with value given in question.
∴ Option 3 is the correct answer.
Finally, for last option:
Given values are A = 0 and B = 0
∴ We have to find the value of 56.05 + 8.06 + 31.47
Calculating 56.05 + 8.06 + 31.47 using the standard method, we get:
The final value is 95.59, which is not equal to 96.59.
∴ Option 4 is also wrong.
Tabulating all the final values, we get:
Now, the sum of the given calculation in the image is 96.59.
∴ From the table, we can find that the values of A and B are A = 5 and B = 5.
So, we have to choose third option.