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 `84 o+ 72 = 45, 63 o+ 41 = 33, 25 o+ 52 = 33 ` then ` 94 o+ 82 = ? `

Options

A. 45
B. 59
C. 56
D. 65

Explanation

To solve the problem, we need to identify the rule applied to the given statements and then use that rule to find the value of `94 o+ 82`.

### Step-by-step Solution:

1. **Identify the Rule:**
- We have three examples:
- \( 84 \, o+ \, 72 = 45 \)
- \( 63 \, o+ \, 41 = 33 \)
- \( 25 \, o+ \, 52 = 33 \)

Let's analyze the first example:
- From \( 84 \, o+ \, 72 = 45 \):
- The first digit of 45 can be obtained by subtracting the second digit of 84 from the first digit: \( 8 - 4 = 4 \).
- The second digit of 45 can be obtained by subtracting the second digit of 72 from the first digit: \( 7 - 2 = 5 \).
- Thus, \( 45 \) is formed by combining \( 4 \) and \( 5 \).

2. **Verify the Rule with Other Examples:**
- For \( 63 \, o+ \, 41 = 33 \):
- First digit: \( 6 - 3 = 3 \)
- Second digit: \( 4 - 1 = 3 \)
- Combined, we get \( 33 \).
- For \( 25 \, o+ \, 52 = 33 \):
- First digit: \( 5 - 2 = 3 \)
- Second digit: \( 5 - 2 = 3 \)
- Combined, we again get \( 33 \).

3. **Apply the Rule to Find \( 94 \, o+ \, 82 \):**
- Now, we apply the same rule to \( 94 \, o+ \, 82 \):
- First digit: \( 9 - 4 = 5 \)
- Second digit: \( 8 - 2 = 6 \)
- Combine these results: \( 56 \).

### Final Answer:
Thus, \( 94 \, o+ \, 82 = 56 \).

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