One of the two digits of a two digit number is three times the other digit. If you interchange the digits of this two-digit number and add the resulting number to the original number, you get 88. What is the original number?

Explanation

To solve the problem step by step, we can follow these instructions:

### Step 1: Define the digits
Let the first digit of the two-digit number be \( x \). According to the problem, one digit is three times the other digit. Therefore, the second digit can be represented as \( 3x \).

### Step 2: Form the two-digit number
The two-digit number can be expressed as:
\[
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