Question 1
Given that
$(1)$ $x$ and $y$ are both integers between $100$ and $999,$ inclusive;
$(2)$ $y$ is the number formed by reversing the digits of $x;$ and
$(3)$ $z = |x - y|.$
How many distinct values of $z$ are possible?
$(1)$ $x$ and $y$ are both integers between $100$ and $999,$ inclusive;
$(2)$ $y$ is the number formed by reversing the digits of $x;$ and
$(3)$ $z = |x - y|.$
How many distinct values of $z$ are possible?