Premise: So, my father came up with a game where you would look at a 4-digit license plate make 2 pairs of numbers that were made from 2 of the digits from the license plate and were Identical Odd Numbers.
Some example games may be: $$ \begin{align} \fbox{ΑΒΕ 5409} & \rightarrow 5+4=9 \\ & \rightarrow 9+0=9 \\ & \rightarrow 9,9 \\ \end{align} $$
$$ \begin{align} \fbox{ΗΙΚ 3162} & \rightarrow 3\times1=3 \\ & \rightarrow \frac{6}{2}=3 \\ & \rightarrow 3,3 \\ \end{align} $$
By the way, all types of basic elementary operations (addition, subtraction, etc...) are allowed.
Question: Given any 4-digit number, how can I achieve a successful game?
Is this even possible?