What is two digit number?
I. The difference between the number and the number formed by interchanging the digit is 27.
II. The difference between two digits is 3.
III. The digit an unit's place is less than that at ten place by 3.

Options

A. I and III
B. I and either II or III
C. I and III
D. None of these

Explanation

To solve the problem of identifying the two-digit number based on the provided statements, let's break it down step by step.

### Step 1: Define the two-digit number
Let the two-digit number be represented as \(10x + y\), where \(x\) is the digit in the tens place and \(y\) is the digit in the units place.

### Step 2: Analyze Statement I
**Statement I:** The difference between the number and the number formed by interchanging the digits is 27.

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