What will come in place of question mark (?) in the following questions ?
`(18 div ? xx 4.5)/(9 xx4 div 6) = 6.75`

Options

A. 6.75
B. 12.5
C. 12
D. None of these

Answer

To solve the equation \( \frac{(18 \div ? \times 4.5)}{(9 \times 4 \div 6)} = 6.75 \), we will follow these steps:

### Step 1: Simplify the Denominator
First, we simplify the denominator \( (9 \times 4 \div 6) \).

\[ 9 \times 4 = 36 \]
\[ 36 \div 6 = 6 \]

So, the denominator simplifies to 6.

### Step 2: Rewrite the Equation
Now we can rewrite the equation with the simplified denominator:

\[ \frac{(18 \div ? \times 4.5)}{6} = 6.75 \]

### Step 3: Eliminate the Denominator
To eliminate the denominator, we multiply both sides of the equation by 6:

\[ 18 \div ? \times 4.5 = 6.75 \times 6 \]

Calculating the right side:

\[ 6.75 \times 6 = 40.5 \]

So, we have:

\[ 18 \div ? \times 4.5 = 40.5 \]

### Step 4: Isolate the Fraction
Next, we isolate \( 18 \div ? \):

\[ 18 \div ? = \frac{40.5}{4.5} \]

Calculating the right side:

\[ \frac{40.5}{4.5} = 9 \]

So, we have:

\[ 18 \div ? = 9 \]

### Step 5: Solve for ?
Now we can solve for \( ? \):

\[ 18 = 9 \times ? \]

Dividing both sides by 9:

\[ ? = \frac{18}{9} = 2 \]

### Final Answer
Thus, the value that comes in place of the question mark (?) is:

\[ \boxed{2} \]