What approximate value should come in place of the question mark (?) in the following equation ? `695.95 div 29.07 xx ? + 40.25 = 399.99` -----

Options

A. 14
B. 17
C. 12
D. 15

Answer

To solve the equation \( 695.95 \div 29.07 \times ? + 40.25 = 399.99 \), we will follow these steps:

### Step 1: Simplify the equation
We start with the equation:
\[ 695.95 \div 29.07 \times ? + 40.25 = 399.99 \]
First, we isolate the term with the question mark by subtracting \( 40.25 \) from both sides:
\[ 695.95 \div 29.07 \times ? = 399.99 - 40.25 \]
Calculating the right side:
\[ 399.99 - 40.25 = 359.74 \]
So, we have:
\[ 695.95 \div 29.07 \times ? = 359.74 \]

### Step 2: Approximate the values
Next, we approximate the numbers for easier calculations:
- Approximate \( 695.95 \) to \( 696 \)
- Approximate \( 29.07 \) to \( 30 \)

Now, we rewrite the equation with these approximations:
\[ 696 \div 30 \times ? = 359.74 \]

### Step 3: Calculate the division
Now, we perform the division:
\[ 696 \div 30 \approx 23.2 \]
So the equation becomes:
\[ 23.2 \times ? = 359.74 \]

### Step 4: Solve for ?
To find the value of \( ? \), we divide both sides by \( 23.2 \):
\[ ? = \frac{359.74}{23.2} \]

### Step 5: Calculate the final value
Now, we calculate the division:
\[ ? \approx 15.5 \]
Since we are looking for an approximate value, we can round this to:
\[ ? \approx 15 \]

### Final Answer
The approximate value that should come in place of the question mark (?) is **15**.

---