If `603 xx 28 = 63 xx 4 xx`.........., then the number in the blank space is

Options

A. 63
B. 67
C. 21
D. 28

Answer

To solve the equation \( 603 \times 28 = 63 \times 4 \times x \), we will follow these steps:

### Step 1: Set up the equation
We start with the equation given in the problem:
\[ 603 \times 28 = 63 \times 4 \times x \]

### Step 2: Isolate \( x \)
To find \( x \), we can rearrange the equation:
\[ x = \frac{603 \times 28}{63 \times 4} \]

### Step 3: Simplify the right side
First, we can simplify \( 63 \times 4 \):
\[ 63 \times 4 = 252 \]
Now, we substitute this back into the equation for \( x \):
\[ x = \frac{603 \times 28}{252} \]

### Step 4: Simplify \( 28 \) and \( 252 \)
Next, we can simplify \( \frac{28}{252} \):
\[ \frac{28}{252} = \frac{1}{9} \quad \text{(since } 252 = 28 \times 9\text{)} \]
Now, substituting this back gives us:
\[ x = 603 \times \frac{1}{9} \]

### Step 5: Calculate \( 603 \div 9 \)
Now we need to divide \( 603 \) by \( 9 \):
\[ 603 \div 9 = 67 \]
So, we find:
\[ x = 67 \]

### Final Answer
Thus, the number in the blank space is \( 67 \).

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