If 31 + 72 = 26, 52 + 45 = 32
then what is the value of 47 + 83?

Options

A. 130
B. 65
C. 22
D. 44

Explanation

To solve the question, we need to identify the pattern used in the previous equations. Let's break it down step by step.

### Step 1: Analyze the given equations
We have:
1. \( 31 + 72 = 26 \)
2. \( 52 + 45 = 32 \)

We need to find \( 47 + 83 \).

### Step 2: Find the sum of the digits for the first equation
For \( 31 + 72 \):
- The digits are \( 3, 1, 7, 2 \).
- Sum of the digits: \( 3 + 1 + 7 + 2 = 13 \).

### Step 3: Multiply the sum of the digits by 2
Now, we multiply the sum by 2:
- \( 13 \times 2 = 26 \).
This matches the given result of the first equation.

### Step 4: Find the sum of the digits for the second equation
For \( 52 + 45 \):
- The digits are \( 5, 2, 4, 5 \).
- Sum of the digits: \( 5 + 2 + 4 + 5 = 16 \).

### Step 5: Multiply the sum of the digits by 2
Now, we multiply the sum by 2:
- \( 16 \times 2 = 32 \).
This matches the given result of the second equation.

### Step 6: Apply the same method to \( 47 + 83 \)
Now, we will find the sum of the digits for \( 47 + 83 \):
- The digits are \( 4, 7, 8, 3 \).
- Sum of the digits: \( 4 + 7 + 8 + 3 = 22 \).

### Step 7: Multiply the sum of the digits by 2
Now, we multiply the sum by 2:
- \( 22 \times 2 = 44 \).

### Conclusion
Thus, the value of \( 47 + 83 \) is \( 44 \).

### Final Answer
The correct option is \( 44 \).

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