The sum of a two digit number and the number formed by interchanging its digits is 1 is subtracted from the first number, the new number is 4 more than 5 times the sum of the digits in the first number. Find the first number.

Explanation

To solve the problem, we will follow these steps:

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

### Step 2: Set Up the First Equation
According to the problem, the sum of the two-digit number and the number formed by interchanging its digits is 110. Therefore, we can write:
\[
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