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 denote the two-digit number as follows:

1. **Define the Variables**:
Let the digit in the tens place be \( x \). Then, the digit in the units place can be expressed as \( 9 - x \) (since the sum of the digits is 9).

2. **Form the Original Number**:
The original two-digit number can be represented as:
\[
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