(408 + ? + 102)-(240- 158 - 57) = 725

Options

A. 240
B. 220
C. 200
D. 250

Answer

To solve the equation \((408 + ? + 102) - (240 - 158 - 57) = 725\), we will follow these steps:

### Step 1: Simplify the left side of the equation
Start by simplifying the expression inside the parentheses on the left side:
\[ 408 + ? + 102 \]
Combine \(408\) and \(102\):
\[ 408 + 102 = 510 \]
So, we can rewrite the expression as:
\[ (510 + ?) - (240 - 158 - 57) = 725 \]

### Step 2: Simplify the right side of the equation
Next, simplify the expression inside the parentheses on the right side:
\[ 240 - 158 - 57 \]
First, calculate \(240 - 158\):
\[ 240 - 158 = 82 \]
Now, subtract \(57\):
\[ 82 - 57 = 25 \]
So, we can rewrite the equation as:
\[ (510 + ?) - 25 = 725 \]

### Step 3: Rearrange the equation
Now, we can rearrange the equation to isolate the question mark:
\[ 510 + ? - 25 = 725 \]
Add \(25\) to both sides:
\[ 510 + ? = 725 + 25 \]
This simplifies to:
\[ 510 + ? = 750 \]

### Step 4: Solve for the question mark
Now, subtract \(510\) from both sides to find the value of the question mark:
\[ ? = 750 - 510 \]
Calculating the right side gives:
\[ ? = 240 \]

### Final Answer
Thus, the value of the question mark is:
\[ \boxed{240} \]

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