1 Look Up A Number Trick And Explain Why It Works

I’m working on a algebra question and need an explanation to help me study.

1. Look up a number trick and explain why it works.

Example:

1. Think of any three-digit number in which each of the digits is the same. Examples include 333, 666, 777, 999.
2. Add up the digits.
3. Divide the three digit number by the answer in Step 2.

The answer is 37.