What will come in place of the question mark (?) in the given questions ?
`10(1024.8+24.6-4.2)=?^2+48`

Options

A. 120
B. 110
C. 130
D. 102

Answer

To solve the equation \( 10(1024.8 + 24.6 - 4.2) = ?^2 + 48 \), we will follow these steps:

### Step 1: Simplify the expression inside the parentheses
Calculate \( 1024.8 + 24.6 - 4.2 \).

\[ 1024.8 + 24.6 = 1049.4 \]
\[ 1049.4 - 4.2 = 1045.2 \]

### Step 2: Multiply by 10
Now, multiply the result by 10.

\[ 10 \times 1045.2 = 10452 \]

### Step 3: Set up the equation
Now we have:

\[ 10452 = ?^2 + 48 \]

### Step 4: Isolate \( ?^2 \)
Subtract 48 from both sides to isolate \( ?^2 \).

\[ 10452 - 48 = ?^2 \]
\[ 10404 = ?^2 \]

### Step 5: Solve for \( ? \)
Take the square root of both sides to find \( ? \).

\[ ? = \sqrt{10404} \]

Calculating the square root:

\[ ? = 102 \]

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

\[ ? = 102 \]