`(136 div 17)+(17xx13)-(103-85)xx(62+145)div 23 =?`

Options

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

Answer

To solve the expression `(136 div 17) + (17 x 13) - (103 - 85) x (62 + 145) div 23`, we will follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

### Step-by-step Solution:

1. **Calculate the divisions and multiplications first:**
- \( 136 \div 17 = 8 \)
- \( 17 \times 13 = 221 \)
- \( 103 - 85 = 18 \)
- \( 62 + 145 = 207 \)
- Now we have: \( 8 + 221 - (18 \times (207 \div 23)) \)

2. **Calculate the division:**
- \( 207 \div 23 = 9 \)
- Now substitute this back into the expression: \( 8 + 221 - (18 \times 9) \)

3. **Calculate the multiplication:**
- \( 18 \times 9 = 162 \)
- Now substitute this back into the expression: \( 8 + 221 - 162 \)

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

### Final Answer:
The value of the expression is \( 67 \).