`[(7)^2 - (6)^2] div 26 = ? div 36`

Options

A. 22
B. 18
C. 20
D. None of these

Answer

To solve the equation \([(7)^2 - (6)^2] \div 26 = ? \div 36\), we will follow these steps:

### Step 1: Calculate \(7^2\) and \(6^2\)
First, we need to calculate the squares of 7 and 6.
- \(7^2 = 49\)
- \(6^2 = 36\)

### Step 2: Subtract the squares
Now, we subtract the two results:
\[ 49 - 36 = 13 \]

### Step 3: Divide by 26
Next, we take the result from Step 2 and divide it by 26:
\[ \frac{13}{26} = \frac{1}{2} \]

### Step 4: Set up the equation
Now we have:
\[ \frac{1}{2} = \frac{?}{36} \]

### Step 5: Cross-multiply to solve for ?
To find the value of ?, we can cross-multiply:
\[ 1 \times 36 = 2 \times ? \]
This simplifies to:
\[ 36 = 2? \]

### Step 6: Solve for ?
Now, divide both sides by 2:
\[ ? = \frac{36}{2} = 18 \]

### Final Answer
Thus, the value of ? is 18.

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