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