What will come in place of both the question marks ? In the following equation ?
`(17xx32+?)/(6^(2)+9xx4-?)=10`

Options

A. `16`
B. `4`
C. `8`
D. `2`

Answer

To solve the equation given in the question, we will follow these steps:

### Step 1: Calculate \( 17 \times 32 \)
First, we need to calculate the product of 17 and 32.

\[ 17 \times 32 = 544 \]

### Step 2: Write the equation with the calculated value
Now, we can substitute this value into the equation:

\[ \frac{544 + ?}{6^2 + 9 \times 4 - ?} = 10 \]

### Step 3: Calculate \( 6^2 \) and \( 9 \times 4 \)
Next, we calculate \( 6^2 \) and \( 9 \times 4 \):

\[ 6^2 = 36 \]
\[ 9 \times 4 = 36 \]

### Step 4: Substitute these values into the equation
Now we substitute these values back into the equation:

\[ \frac{544 + ?}{36 + 36 - ?} = 10 \]

### Step 5: Simplify the denominator
Combine the terms in the denominator:

\[ 36 + 36 = 72 \]

So, the equation now looks like this:

\[ \frac{544 + ?}{72 - ?} = 10 \]

### Step 6: Cross-multiply to eliminate the fraction
Now we cross-multiply to solve for the question mark:

\[ 544 + ? = 10 \times (72 - ?) \]

### Step 7: Expand the right side
Expanding the right side gives us:

\[ 544 + ? = 720 - 10? \]

### Step 8: Move all terms involving ? to one side
Now, we move all terms involving the question mark to one side of the equation:

\[ 544 + ? + 10? = 720 \]
\[ 544 + 11? = 720 \]

### Step 9: Isolate the question mark
Now, we isolate the question mark by subtracting 544 from both sides:

\[ 11? = 720 - 544 \]
\[ 11? = 176 \]

### Step 10: Solve for ?
Finally, divide both sides by 11 to find the value of the question mark:

\[ ? = \frac{176}{11} \]
\[ ? = 16 \]

### Conclusion
Thus, the value that comes in place of both the question marks is **16**.

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