A two-digit number is 3 more than 4 times the sum of its digits. If 18 is added to the number, the digits are reversed. Find the number.

Explanation

To solve the problem step by step, we will define the two-digit number and set up equations based on the conditions given in the problem.

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

### Step 2: Set Up the First Equation
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