Challenge Level

There are two dice, each of them with faces labelled from 1 to 6.

When the dice are rolled they can be combined in two different ways to make a 2-digit number.

For example, if I roll a 2 and a 3 I can combine them to make 23 or 32.

Now round each of these numbers to the nearest 10: 23 rounds to 20 and 32 rounds to 30.

Repeat for other rolls of the dice.

Do both of the numbers you make ever round to the same multiple of 10?

There some interactive dice here that you can use for this problem.