Find the value of x in the following equation :
`(1728+x)/(36xx2) = 24.16`

Options

A. 10
B. 11
C. 12
D. 13

Answer

To solve the equation \((1728 + x) / (36 \times 2) = 24.16\), we will follow these steps:

### Step 1: Simplify the denominator
First, calculate the denominator \(36 \times 2\):
\[ 36 \times 2 = 72 \]
Now, rewrite the equation:
\[ \frac{1728 + x}{72} = 24.16 \]

### Step 2: Eliminate the denominator
To eliminate the denominator, multiply both sides of the equation by 72:
\[ 1728 + x = 24.16 \times 72 \]

### Step 3: Calculate the right side
Now, calculate \(24.16 \times 72\):
\[ 24.16 \times 72 = 1739.52 \quad (\text{approximately } 1740) \]
So, we can rewrite the equation as:
\[ 1728 + x = 1740 \]

### Step 4: Solve for \(x\)
Now, isolate \(x\) by subtracting 1728 from both sides:
\[ x = 1740 - 1728 \]
\[ x = 12 \]

### Final Answer
The value of \(x\) is \(12\).

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