If '15 + 10 means 5', ' `6 xx 3 ` means 9' , ' ` 8 div 4` means 32 , and ' 12 - 2 means 6' , then what will be the value of ` 27 + 81 - 9 xx 6 `?

Options

A. 36
B. 24
C. 12
D. 6

Answer

To solve the expression `27 + 81 - 9 xx 6` using the relationships given in the problem, we will follow these steps:

### Step 1: Identify the operations based on the given relationships
- From the problem, we have:
- `+` means `-`
- `xx` (multiplication) means `+`
- `div` (division) means `xx` (multiplication)
- `-` means `div` (division)

### Step 2: Rewrite the expression using the identified operations
The expression `27 + 81 - 9 xx 6` can be rewritten as:
- `27 - 81 div 9 + 6`

### Step 3: Substitute the operations
Now, we substitute the operations based on the relationships:
- `27 - 81 div 9 + 6` becomes:
- `27 - (81 / 9) + 6`

### Step 4: Calculate the division
Now, we need to calculate `81 div 9`:
- `81 div 9 = 9`

### Step 5: Substitute the result back into the expression
Now, we substitute the result back into the expression:
- `27 - 9 + 6`

### Step 6: Perform the operations in order
Now we will perform the operations from left to right:
1. First, calculate `27 - 9`:
- `27 - 9 = 18`
2. Then, add `6`:
- `18 + 6 = 24`

### Final Answer
The value of `27 + 81 - 9 xx 6` is **24**.

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