Simplify : `25 - 48 div 6 + 12 xx 2`

Options

A. A) 51
B. B) 45
C. C) 41
D. D) 43

Answer

To simplify the expression \( 25 - 48 \div 6 + 12 \times 2 \), we will follow the order of operations, often remembered by the acronym BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction).

### Step-by-Step Solution:

1. **Identify the operations**: The expression contains subtraction, division, and multiplication.
\[ 25 - 48 \div 6 + 12 \times 2 \]

2. **Perform the division first**: According to the BODMAS rule, we first perform the division \( 48 \div 6 \).
\[ 48 \div 6 = 8 \]
Now, substitute this back into the expression:
\[ 25 - 8 + 12 \times 2 \]

3. **Next, perform the multiplication**: Now we calculate \( 12 \times 2 \).
\[ 12 \times 2 = 24 \]
Substitute this back into the expression:
\[ 25 - 8 + 24 \]

4. **Now, perform the subtraction**: Calculate \( 25 - 8 \).
\[ 25 - 8 = 17 \]
Substitute this back into the expression:
\[ 17 + 24 \]

5. **Finally, perform the addition**: Calculate \( 17 + 24 \).
\[ 17 + 24 = 41 \]

### Final Answer:
The simplified expression is \( 41 \).

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