By how much should 23.745 be increased to get 35 ?

Options

A. 11.255
B. 10.215
C. 11.612
D. 12.155

Answer

To solve the problem of how much 23.745 should be increased to get 35, we can follow these steps:

### Step-by-Step Solution:

1. **Set Up the Equation**:
We need to find the value of \( x \) such that when we add \( x \) to 23.745, we get 35. This can be expressed as:
\[ 23.745 + x = 35 \]

2. **Rearrange the Equation**:
To isolate \( x \), we can rearrange the equation:
\[ x = 35 - 23.745 \]

3. **Perform the Subtraction**:
Now we need to calculate \( 35 - 23.745 \). To do this accurately, we can align the numbers by their decimal points:
\[ 35.000 - 23.745 \]
Now, we can perform the subtraction starting from the rightmost digit.

4. **Subtract Column by Column**:
- Subtract the thousandths place: \( 0 - 5 \) (we need to borrow)
- Subtract the hundredths place: \( 0 - 4 \) (again, we need to borrow)
- Subtract the tenths place: \( 0 - 7 \) (again, we need to borrow)
- Subtract the units and tens places accordingly.

After borrowing and subtracting, we get:
\[ 35.000 - 23.745 = 11.255 \]

5. **Conclusion**:
Therefore, the amount by which 23.745 should be increased to get 35 is:
\[ \boxed{11.255} \]