What value will come in place of question mark(?) in the question
7`2/7` of ? + 452 = 2000 - 171

Options

A. 198
B. 189
C. 188
D. 192

Answer

To solve the equation \( \frac{7x2}{7} + 452 = 2000 - 171 \), we will follow these steps:

### Step 1: Simplify the right side of the equation
First, we need to simplify the right side of the equation:
\[ 2000 - 171 = 1829 \]
So, the equation now looks like:
\[ \frac{7x2}{7} + 452 = 1829 \]

### Step 2: Isolate the fraction
Next, we will isolate the fraction \( \frac{7x2}{7} \) by subtracting 452 from both sides:
\[ \frac{7x2}{7} = 1829 - 452 \]
Calculating the right side:
\[ 1829 - 452 = 1377 \]
Now the equation is:
\[ \frac{7x2}{7} = 1377 \]

### Step 3: Eliminate the fraction
To eliminate the fraction, we multiply both sides by 7:
\[ 7x2 = 1377 \times 7 \]
Calculating the right side:
\[ 1377 \times 7 = 9639 \]
Now we have:
\[ 7x2 = 9639 \]

### Step 4: Solve for \( x \)
Now, we will divide both sides by 7 to solve for \( x2 \):
\[ x2 = \frac{9639}{7} \]
Calculating the division:
\[ \frac{9639}{7} = 1377 \]

### Step 5: Solve for \( x \)
Now, we need to find \( x \) from \( x2 \):
\[ x = 1377 \div 2 \]
Calculating the division:
\[ x = 688.5 \]

### Conclusion
Thus, the value that will come in place of the question mark (?) is:
\[ x = 688.5 \]

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