What well Centre in place of the question mark (?) in the following questions?
`(14 xx 6 ) -( 13 xx 5 ) + 9 =? div 4`

Options

A. 28
B. 7
C. `sqrt(7)`
D. `112`

Answer

To solve the equation `(14 x 6) - (13 x 5) + 9 = ? div 4`, we will follow the order of operations, often referred to as BODMAS/BIDMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction).

### Step-by-Step Solution:

1. **Calculate the Multiplications:**
- First, compute `14 x 6` and `13 x 5`.
- \( 14 \times 6 = 84 \)
- \( 13 \times 5 = 65 \)

**Hint:** Always perform multiplication before addition or subtraction.

2. **Substitute the Results:**
- Replace the multiplications in the original equation:
\[ (84) - (65) + 9 = ? \div 4 \]

3. **Perform the Subtraction:**
- Now, subtract `65` from `84`:
\[ 84 - 65 = 19 \]

**Hint:** When subtracting, ensure you align the numbers correctly to avoid errors.

4. **Add 9 to the Result:**
- Next, add `9` to the result from the previous step:
\[ 19 + 9 = 28 \]

**Hint:** Addition is straightforward; just combine the numbers.

5. **Set Up the Equation:**
- Now we have:
\[ 28 = ? \div 4 \]

6. **Solve for the Question Mark (?):**
- To find `?`, multiply both sides by `4`:
\[ ? = 28 \times 4 \]
- Calculate:
\[ 28 \times 4 = 112 \]

**Hint:** Remember that multiplying both sides of an equation by the same number keeps the equation balanced.

### Final Answer:
The value of the question mark (?) is **112**.