In each of the following questions , three statements of numbers following same rules are given . Find the rule and accordingly find the value of the number ? If 24 + 35 = 28, 15 + 42 = 24, 84 + 57 = 48 then 69 + 37 = ?

Options

A. 62
B. 56
C. 38
D. 50

Explanation

To solve the problem, we need to identify the rule applied in the given equations. Let's analyze the equations step by step.

### Step 1: Analyze the first equation
Given:
\[ 24 + 35 = 28 \]

1. **Calculate the sum of the digits:**
- For 24: \( 2 + 4 = 6 \)
- For 35: \( 3 + 5 = 8 \)
- Total sum of digits: \( 6 + 8 = 14 \)

2. **Multiply the sum by 2:**
- \( 14 \times 2 = 28 \)

### Step 2: Analyze the second equation
Given:
\[ 15 + 42 = 24 \]

1. **Calculate the sum of the digits:**
- For 15: \( 1 + 5 = 6 \)
- For 42: \( 4 + 2 = 6 \)
- Total sum of digits: \( 6 + 6 = 12 \)

2. **Multiply the sum by 2:**
- \( 12 \times 2 = 24 \)

### Step 3: Analyze the third equation
Given:
\[ 84 + 57 = 48 \]

1. **Calculate the sum of the digits:**
- For 84: \( 8 + 4 = 12 \)
- For 57: \( 5 + 7 = 12 \)
- Total sum of digits: \( 12 + 12 = 24 \)

2. **Multiply the sum by 2:**
- \( 24 \times 2 = 48 \)

### Step 4: Apply the rule to the new equation
Given:
\[ 69 + 37 = ? \]

1. **Calculate the sum of the digits:**
- For 69: \( 6 + 9 = 15 \)
- For 37: \( 3 + 7 = 10 \)
- Total sum of digits: \( 15 + 10 = 25 \)

2. **Multiply the sum by 2:**
- \( 25 \times 2 = 50 \)

### Conclusion
Thus, the value of \( 69 + 37 \) according to the identified rule is:
\[ 69 + 37 = 50 \]