A car's milometer reads 4631 miles and the trip meter has 173.3 on it:

How many more miles must the car travel before the two numbers contain the same digits in the same order?

If the milometer and trip meters had the following readings (4632 and 173.3) the two numbers will never contain the same digits in the same order:

Can you find some other starting numbers that will lead to matching pairs?

What is the relationship between two starting numbers that will work?