What approximate value will come in place of question mark (?) in the following questions. (You are not expected to calculate the exact value)
`5759.99 div 45.01 + 11.99 = ? xx 10.03`

Options

A. 60
B. 2
C. 46
D. 14

Answer

To solve the given problem step by step, we will approximate the values and perform the calculations accordingly.

### Step 1: Approximate the values
The original expression is:
\[ 5759.99 \div 45.01 + 11.99 = ? \times 10.03 \]

We will approximate the numbers:
- Approximate \( 5759.99 \) to \( 5760 \)
- Approximate \( 45.01 \) to \( 45 \)
- Approximate \( 11.99 \) to \( 12 \)
- Approximate \( 10.03 \) to \( 10 \)

So, the expression becomes:
\[ 5760 \div 45 + 12 = ? \times 10 \]

### Step 2: Perform the division
Now we need to calculate \( 5760 \div 45 \).

To simplify \( 5760 \div 45 \):
- \( 5760 \div 45 \) can be calculated as follows:
- \( 45 \) goes into \( 57 \) once (1), leaving a remainder of \( 12 \) (since \( 57 - 45 = 12 \)).
- Bring down the next digit \( 6 \) to make \( 126 \).
- \( 45 \) goes into \( 126 \) twice (2), which is \( 90 \) (since \( 45 \times 2 = 90 \)).
- Subtract \( 90 \) from \( 126 \) to get \( 36 \).
- Bring down the next digit \( 0 \) to make \( 360 \).
- \( 45 \) goes into \( 360 \) eight times (8), which is \( 360 \) (since \( 45 \times 8 = 360 \)).
- Subtract \( 360 \) from \( 360 \) to get \( 0 \).

Thus, \( 5760 \div 45 = 128 \).

### Step 3: Add \( 12 \) to the result
Now we add \( 12 \) to \( 128 \):
\[ 128 + 12 = 140 \]

### Step 4: Set up the equation
Now we have:
\[ 140 = ? \times 10 \]

### Step 5: Solve for \( ? \)
To find \( ? \), divide both sides by \( 10 \):
\[ ? = \frac{140}{10} = 14 \]

### Final Answer
Thus, the approximate value that will come in place of the question mark (?) is \( 14 \).