What approximate value will come in place of question mark in the following questions?
`?^2-137.99-:6=21.99xx23.01`

Options

A. 23
B. 50
C. 42
D. 29

Answer

To solve the equation \( ?^2 - 137.99 \div 6 = 21.99 \times 23.01 \), we will follow these steps:

### Step 1: Simplify the right side of the equation
Calculate \( 21.99 \times 23.01 \).

**Calculation:**
\[ 21.99 \approx 22 \quad \text{and} \quad 23.01 \approx 23 \]
So,
\[ 21.99 \times 23.01 \approx 22 \times 23 = 506 \]

### Step 2: Rewrite the equation
Now we can rewrite the equation as:
\[ ?^2 - 137.99 \div 6 = 506 \]

### Step 3: Calculate \( 137.99 \div 6 \)
Now, we will calculate \( 137.99 \div 6 \).

**Calculation:**
\[ 137.99 \approx 138 \]
So,
\[ 138 \div 6 = 23 \]

### Step 4: Substitute back into the equation
Now substitute back into the equation:
\[ ?^2 - 23 = 506 \]

### Step 5: Solve for \( ?^2 \)
Add 23 to both sides:
\[ ?^2 = 506 + 23 \]
\[ ?^2 = 529 \]

### Step 6: Find the value of \( ? \)
Now take the square root of both sides:
\[ ? = \sqrt{529} \]
\[ ? = 23 \]

### Final Answer
The approximate value that will come in place of the question mark is **23**.

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