Some equations have been solved on the basis of certain system. Find the correct answer for the unsolved equations on that basis:
If `72xx19=23,13xx48=35` and `16xx43=18` then `39xx22=?`

Options

A. 31
B. 51
C. 21
D. 27

Explanation

To solve the problem, we need to identify the pattern used in the given equations. Let's analyze the provided examples step by step.

### Step 1: Analyze the first equation
Given:
\[ 72xx19 = 23 \]

We can break it down as follows:
- Take the first digit of the first number (7) and the second digit (2).
- Multiply them: \( 7 \times 2 = 14 \).
- Now take the first digit of the second number (1) and the second digit (9).
- Multiply them: \( 1 \times 9 = 9 \).
- Now add the two results together: \( 14 + 9 = 23 \).

### Step 2: Analyze the second equation
Given:
\[ 13xx48 = 35 \]

Following the same pattern:
- First number: \( 1 \times 3 = 3 \).
- Second number: \( 4 \times 8 = 32 \).
- Add the results: \( 3 + 32 = 35 \).

### Step 3: Analyze the third equation
Given:
\[ 16xx43 = 18 \]

Again, applying the same method:
- First number: \( 1 \times 6 = 6 \).
- Second number: \( 4 \times 3 = 12 \).
- Add the results: \( 6 + 12 = 18 \).

### Step 4: Solve the unsolved equation
Now we need to solve:
\[ 39xx22 = ? \]

Using the identified pattern:
- First number: \( 3 \times 9 = 27 \).
- Second number: \( 2 \times 2 = 4 \).
- Now add the results: \( 27 + 4 = 31 \).

### Final Answer
Thus, the answer for \( 39xx22 \) is:
\[ 39xx22 = 31 \]