In a two digit number, the unit’s digit is twice the ten’s digit. If 27 is added to the number, the digits interchange their places. Find the number.

Explanation

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

### Step 1: Define the Variables
Let:
- \( x \) = the ten's digit
- \( y \) = the unit's digit

### Step 2: Formulate the Number
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