If 841 = 3, 633 = 5, 425 = 7 then 217 = ?

Options

A. 6
B. 7
C. 8
D. 9

Explanation

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

### Step 1: Analyze the first equation
The first equation is:
- **841 = 3**

To find out how 3 is derived from 841, we can break it down:
- Take the first digit (8) and divide it by the second digit (4):
\[ 8 \div 4 = 2 \]
- Then, we add the last digit (1) to this result:
\[ 2 + 1 = 3 \]

### Step 2: Analyze the second equation
The second equation is:
- **633 = 5**

Using the same method:
- Take the first digit (6) and divide it by the second digit (3):
\[ 6 \div 3 = 2 \]
- Then, add the last digit (3) to this result:
\[ 2 + 3 = 5 \]

### Step 3: Analyze the third equation
The third equation is:
- **425 = 7**

Again, applying the same pattern:
- Take the first digit (4) and divide it by the second digit (2):
\[ 4 \div 2 = 2 \]
- Then, add the last digit (5) to this result:
\[ 2 + 5 = 7 \]

### Step 4: Apply the pattern to the new number
Now, we will apply this pattern to the number 217:
- Take the first digit (2) and divide it by the second digit (1):
\[ 2 \div 1 = 2 \]
- Then, add the last digit (7) to this result:
\[ 2 + 7 = 9 \]

### Conclusion
Thus, according to the identified pattern:
- **217 = 9**

### Final Answer
The answer is **9**.

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