`6798 xx 223 + 6798 xx 77 = k` then the value of k will be :

Options

A. 2034900
B. 3029400
C. 2039400
D. none of these

Answer

To solve the equation \( 6798 \times 223 + 6798 \times 77 = k \), we can follow these steps:

### Step 1: Identify the common factor
We notice that \( 6798 \) is a common factor in both terms of the equation. We can factor it out.

\[ k = 6798 \times 223 + 6798 \times 77 \]

### Step 2: Factor out the common term
By factoring out \( 6798 \), we rewrite the equation as:

\[ k = 6798 \times (223 + 77) \]

### Step 3: Calculate the sum inside the parentheses
Now, we need to calculate \( 223 + 77 \):

\[ 223 + 77 = 300 \]

### Step 4: Substitute back into the equation
Now we can substitute this back into our equation for \( k \):

\[ k = 6798 \times 300 \]

### Step 5: Perform the multiplication
Now we need to multiply \( 6798 \) by \( 300 \):

\[ 6798 \times 300 = 2039400 \]

### Final Answer
Thus, the value of \( k \) is:

\[ k = 2039400 \]

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