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 `32 xx 41 = 15, 51 xx 34 = 47, 41 xx 52 = 37` then `87 xx 53` = ?

Options

A. 68
B. 64
C. 85
D. 18

Explanation

To solve the problem, we need to identify the pattern or rule applied in the given statements and then apply the same rule to find the value of `87 xx 53`.

### Step-by-Step Solution:

1. **Analyze the first statement: `32 xx 41 = 15`**
- Find the difference of the digits in the first number (32):
- \(3 - 2 = 1\)
- Find the sum of the digits in the second number (41):
- \(4 + 1 = 5\)
- Combine these results:
- The result is \(15\) (from \(1\) and \(5\)).

2. **Analyze the second statement: `51 xx 34 = 47`**
- Find the difference of the digits in the first number (51):
- \(5 - 1 = 4\)
- Find the sum of the digits in the second number (34):
- \(3 + 4 = 7\)
- Combine these results:
- The result is \(47\) (from \(4\) and \(7\)).

3. **Analyze the third statement: `41 xx 52 = 37`**
- Find the difference of the digits in the first number (41):
- \(4 - 1 = 3\)
- Find the sum of the digits in the second number (52):
- \(5 + 2 = 7\)
- Combine these results:
- The result is \(37\) (from \(3\) and \(7\)).

4. **Apply the same rule to `87 xx 53`:**
- Find the difference of the digits in the first number (87):
- \(8 - 7 = 1\)
- Find the sum of the digits in the second number (53):
- \(5 + 3 = 8\)
- Combine these results:
- The result is \(18\) (from \(1\) and \(8\)).

### Final Answer:
Thus, \(87 xx 53 = 18\).