What approximate value will come in place of question mark (?) in the following questions ?
`(1487 + 2186) + (814 - 426 - 113) = ?`

Options

A. 3945
B. 3946
C. 3948
D. 3947

Answer

To solve the expression \( (1487 + 2186) + (814 - 426 - 113) = ? \), we will break it down into two parts and calculate each part step by step.

### Step 1: Calculate the first bracket \( (1487 + 2186) \)

1. **Add the numbers:**
\[ 1487 + 2186 \]
- Start from the rightmost digits: \( 7 + 6 = 13 \) (write down 3 and carry over 1)
- Next column: \( 8 + 8 + 1 = 17 \) (write down 7 and carry over 1)
- Next column: \( 4 + 1 + 1 = 6 \)
- Last column: \( 1 + 2 = 3 \)

So,
\[ 1487 + 2186 = 3673 \]

### Step 2: Calculate the second bracket \( (814 - 426 - 113) \)

1. **Subtract \( 426 \) from \( 814 \):**
\[ 814 - 426 \]
- Start from the right: \( 4 - 6 \) (we need to borrow, so it becomes \( 14 - 6 = 8 \))
- Next column: \( 0 - 2 \) (again we need to borrow, so it becomes \( 10 - 2 = 8 \))
- Last column: \( 7 - 4 = 3 \)

So,
\[ 814 - 426 = 388 \]

2. **Now subtract \( 113 \) from \( 388 \):**
\[ 388 - 113 \]
- Start from the right: \( 8 - 3 = 5 \)
- Next column: \( 8 - 1 = 7 \)
- Last column: \( 3 - 0 = 3 \)

So,
\[ 388 - 113 = 275 \]

### Step 3: Combine the results from both brackets

Now we combine the results from the two brackets:
\[ 3673 + 275 \]
- Start from the right: \( 3 + 5 = 8 \)
- Next column: \( 7 + 7 = 14 \) (write down 4 and carry over 1)
- Next column: \( 6 + 2 + 1 = 9 \)
- Last column: \( 3 + 0 = 3 \)

So,
\[ 3673 + 275 = 3948 \]

### Final Answer:
The approximate value that will come in place of the question mark (?) is \( \boxed{3948} \).

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