Sum of the digits of a two-digit number is 9. When we interchange the digits, it is found that the resulting new number is greater than the original number by 27. What is the two-digit number?

Explanation

To solve the problem step by step, let's break it down clearly:

### Step 1: Define the digits of the two-digit number
Let the unit digit be \( x \). Since the sum of the digits of the two-digit number is 9, the tens digit can be expressed as \( 9 - x \).

### Step 2: Write the original number
The original two-digit number can be represented as:
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