`40932div?+20=sqrt(15876) +39`

Options

A. (282)42/145
B. (280(42/145)
C. (281)42/145
D. 283

Answer

To solve the equation \( \frac{40932}{?} + 20 = \sqrt{15876} + 39 \), we will follow these steps:

### Step 1: Simplify the right side of the equation
First, we need to calculate \( \sqrt{15876} \).

\[ \sqrt{15876} = 126 \]

Now, substituting this back into the equation gives us:

\[ \frac{40932}{?} + 20 = 126 + 39 \]

### Step 2: Simplify further
Now, we can simplify the right side:

\[ 126 + 39 = 165 \]

So, we have:

\[ \frac{40932}{?} + 20 = 165 \]

### Step 3: Isolate the fraction
Next, we will isolate the fraction by subtracting 20 from both sides:

\[ \frac{40932}{?} = 165 - 20 \]

Calculating the right side:

\[ 165 - 20 = 145 \]

Thus, we have:

\[ \frac{40932}{?} = 145 \]

### Step 4: Solve for the question mark
Now, we can solve for the question mark (let's denote it as \( x \)):

\[ 40932 = 145 \times x \]

To find \( x \), we divide both sides by 145:

\[ x = \frac{40932}{145} \]

### Step 5: Perform the division
Now, we calculate \( \frac{40932}{145} \):

\[ 40932 \div 145 = 282 \]

So, the value of the question mark is:

\[ ? = 282 \]

### Final Answer
The value of the question mark is \( 282 \).

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