`(136 // 17) + (17 xx 13) - (103 - 85) xx (62 + 145) // 23`=?

Options

A. 75
B. 67
C. 59
D. 76

Answer

To solve the expression `(136 // 17) + (17 xx 13) - (103 - 85) xx (62 + 145) // 23`, we will follow the BODMAS/BIDMAS rule, which stands for Brackets, Orders (i.e., powers and square roots, etc.), Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

### Step-by-Step Solution:

1. **Calculate the divisions and brackets first:**
- **First part:** `136 // 17`
- Calculation: \( 136 \div 17 = 8 \)
- **Second part:** `17 xx 13`
- Calculation: \( 17 \times 13 = 221 \)
- **Third part:** `103 - 85`
- Calculation: \( 103 - 85 = 18 \)
- **Fourth part:** `62 + 145`
- Calculation: \( 62 + 145 = 207 \)
- **Now substitute these values back into the expression:**
- The expression now looks like: \( 8 + 221 - (18 \times (207 // 23)) \)

2. **Calculate the division in the last part:**
- **Calculate:** `207 // 23`
- Calculation: \( 207 \div 23 = 9 \)

3. **Now substitute this value back into the expression:**
- The expression now looks like: \( 8 + 221 - (18 \times 9) \)

4. **Calculate the multiplication:**
- **Calculate:** `18 xx 9`
- Calculation: \( 18 \times 9 = 162 \)

5. **Now substitute this value back into the expression:**
- The expression now looks like: \( 8 + 221 - 162 \)

6. **Perform the addition and subtraction:**
- **First, add:** \( 8 + 221 = 229 \)
- **Then subtract:** \( 229 - 162 = 67 \)

### Final Answer:
The final result of the expression is **67**.

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