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Question

Find the missing entries A and B in the given calculation.


A
A = 9 flats
B = 9 rods
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B
A = 8 flats
B = 9 rods
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C
A = 9 flats
B = 8 rods
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D
A = 8 flats
B = 8 rods
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Solution

The correct option is B A = 8 flats
B = 9 rods
The possible values of A and B are:
Case Value of A Value of B
Case 1 9 flats 9 rods
Case 2 8 flats 9 rods
Case 3 9 flats 8 rods
Case 4 8 flats 8 rods

First, we perform the calculation for Case 1.

Taking A = 9 flats and B = 9 rods, we get:


So, when A = 9 flats and B = 9 rods, the sum is 32.23.

Next, for Case 2:
A = 8 flats and B = 9 rods

Adding the numbers, we get:


So, when A = 8 flats and B = 9 rods, the sum is 31.23.

For Case 3:
A = 9 flats and B = 8 rods

Adding the numbers, we get:


So, when A = 9 flats and B = 8 rods, the sum is 32.13.

Finally for Case 4:

Taking A = 8 flats and B = 8 rods, we get:


So, when A = 8 flats and B = 8 rods, the sum is 31.13.

Tabulating the final sum value in each case, we get:
Value of A Value of B Final Sum
9 flats 9 rods 32.23
8 flats 9 rods 31.23
9 flats 8 rods 32.13
8 flats 8 rods 31.13

So, the only set of A and B that gives 31.23 as the sum is A = 8 flats and B = 9 rods

∴ The missing entries in the calculation are A = 8 flats; B = 9 rods

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