Some equations are solved on the basic of a certain system. On the same basis, find out the correct answer, from amongst the four alternative, for the unsolved equation.
` 85 xx 14 = 44, 68 xx 28 = 64, 79 xx 45 = ?`

Options

A. 72
B. 83
C. 96
D. 124

Answer

To solve the equation based on the given pattern, we will follow these steps:

### Step 1: Analyze the first equation
The first equation is:
\[ 85 \times 14 = 44 \]

We will break it down:
- Multiply the digits of the first number:
\[ 8 \times 5 = 40 \]
- Multiply the digits of the second number:
\[ 1 \times 4 = 4 \]
- Now, add the two results together:
\[ 40 + 4 = 44 \]

### Step 2: Analyze the second equation
The second equation is:
\[ 68 \times 28 = 64 \]

Breaking it down:
- Multiply the digits of the first number:
\[ 6 \times 8 = 48 \]
- Multiply the digits of the second number:
\[ 2 \times 8 = 16 \]
- Now, add the two results together:
\[ 48 + 16 = 64 \]

### Step 3: Apply the same logic to the third equation
Now, we will apply the same logic to the third equation:
\[ 79 \times 45 = ? \]

Breaking it down:
- Multiply the digits of the first number:
\[ 7 \times 9 = 63 \]
- Multiply the digits of the second number:
\[ 4 \times 5 = 20 \]
- Now, add the two results together:
\[ 63 + 20 = 83 \]

### Conclusion
Thus, the answer to the equation \( 79 \times 45 \) is:
\[ 79 \times 45 = 83 \]

### Final Answer
The correct answer is **83**.

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