What comes at the place of question (?) mark :
`23 xx 13 + (11)^(2) - ? = (19)^(2)`

Options

A. 49
B. 39
C. 59
D. 29

Answer

To solve the equation \( 23 \times 13 + (11)^2 - ? = (19)^2 \), we will follow these steps:

### Step 1: Calculate \( 23 \times 13 \)
First, we need to multiply \( 23 \) and \( 13 \).
\[ 23 \times 13 = 299 \]

**Hint:** Remember that multiplication can be done using the distributive property or by breaking numbers into smaller parts.

### Step 2: Calculate \( (11)^2 \)
Next, we calculate \( 11^2 \).
\[ 11^2 = 121 \]

**Hint:** Squaring a number means multiplying the number by itself.

### Step 3: Calculate \( (19)^2 \)
Now, we calculate \( 19^2 \).
\[ 19^2 = 361 \]

**Hint:** Again, squaring a number involves multiplying it by itself.

### Step 4: Substitute the values into the equation
Now we substitute the calculated values back into the equation:
\[ 299 + 121 - ? = 361 \]

**Hint:** Make sure to keep track of the operations (addition and subtraction) as you substitute.

### Step 5: Combine the values on the left side
Now, we add \( 299 \) and \( 121 \):
\[ 299 + 121 = 420 \]
So the equation now looks like:
\[ 420 - ? = 361 \]

**Hint:** When combining numbers, ensure you align them correctly to avoid mistakes.

### Step 6: Isolate the question mark
To find \( ? \), we rearrange the equation:
\[ ? = 420 - 361 \]

**Hint:** To isolate a variable, perform the opposite operation.

### Step 7: Calculate \( 420 - 361 \)
Now we perform the subtraction:
\[ 420 - 361 = 59 \]

**Hint:** Subtracting can be done by borrowing if necessary, or you can break it down into smaller parts.

### Conclusion
Thus, the value that comes at the place of the question mark is:
\[ ? = 59 \]

**Final Answer:** The answer is \( 59 \), which corresponds to option C.

---