What well Centre in place of the question mark (?) in the following questions?
235.42 - 123.78 = ? + 12.86

Options

A. 98.78
B. 64.86
C. 65.98
D. 89.74

Answer

To solve the equation \( 235.42 - 123.78 = ? + 12.86 \), we will follow these steps:

### Step 1: Calculate \( 235.42 - 123.78 \)

First, we need to perform the subtraction:

\[ 235.42 - 123.78 \]

Align the numbers by their decimal points:

```
235.42
- 123.78
_________
```

Now, subtract:

- Starting from the rightmost digit: \( 2 - 8 \) (we need to borrow, so it becomes \( 12 - 8 = 4 \))
- Next column: \( 3 - 7 \) (again, we need to borrow, so it becomes \( 13 - 7 = 6 \))
- Next column: \( 4 - 3 = 1 \)
- Finally, \( 2 - 1 = 1 \)

So, the result is:

\[ 111.64 \]

### Step 2: Set up the equation

Now we have:

\[ 111.64 = ? + 12.86 \]

### Step 3: Isolate the question mark (?)

To find the value of \( ? \), we need to isolate it on one side of the equation. We can do this by subtracting \( 12.86 \) from both sides:

\[ ? = 111.64 - 12.86 \]

### Step 4: Perform the subtraction

Now we will subtract \( 12.86 \) from \( 111.64 \):

Align the numbers:

```
111.64
- 12.86
_________
```

Now, subtract:

- Starting from the rightmost digit: \( 4 - 6 \) (we need to borrow, so it becomes \( 14 - 6 = 8 \))
- Next column: \( 3 - 8 \) (again, we need to borrow, so it becomes \( 13 - 8 = 5 \))
- Next column: \( 1 - 2 \) (we need to borrow, so it becomes \( 11 - 2 = 9 \))
- Finally, \( 1 - 0 = 1 \)

So, the result is:

\[ 98.78 \]

### Final Answer

Thus, the value that replaces the question mark (?) is:

\[ ? = 98.78 \]

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