Problem of the Week
Problem B
They All Add Up

Etta is finding the sum of the digits of numbers. For example, the sum of the digits in \(904\) is \(9+0+4=13\).

1. Etta determines that there are \(15\) integers from \(1\) to \(1000\) whose digits have a sum of \(4\). Find all these integers.

2. What fraction of these integers are even?

Theme: Number Sense