Question

The calculation performed by Mary has some missing digits.


Use the given image to find the values of A and B.

• A. A = 0
  B = 1
• B. A = 1
  B = 0
• C. A = 5
  B = 5
• D. A = 0
  B = 0

Answer 1

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.