`24679 xx 92 +24679xx8=?`

Options

A. `4,93,580`
B. `12,33,950`
C. `24,67,900`
D. none of these

Answer

To solve the expression \( 24679 \times 92 + 24679 \times 8 \) using the distributive property, we can follow these steps:

### Step 1: Identify the common factor
We notice that both terms in the expression share a common factor, which is \( 24679 \).

### Step 2: Apply the distributive property
Using the distributive property, we can factor out \( 24679 \):
\[ 24679 \times 92 + 24679 \times 8 = 24679 \times (92 + 8) \]

### Step 3: Simplify the expression inside the parentheses
Now, we will add the numbers inside the parentheses:
\[ 92 + 8 = 100 \]

### Step 4: Rewrite the expression
Now we can rewrite the expression using the result from Step 3:
\[ 24679 \times (92 + 8) = 24679 \times 100 \]

### Step 5: Perform the multiplication
Now, we can multiply \( 24679 \) by \( 100 \):
\[ 24679 \times 100 = 2467900 \]

### Final Answer
Thus, the final answer is:
\[ \boxed{2467900} \]