Understanding the Problem

We need to rearrange the digits of 21058 to create two numbers that, when subtracted, result in 68.

Finding the Solution

1. Focus on the Difference: Since the difference is 68, the two numbers we create must have units digits that differ by 8.

2. Trial and Error: Let's try arranging the digits to see if we can get close to a difference of 68:

* Largest Number: We want the largest number possible to maximize the difference. Let's try 85210.

* Smallest Number: To get a difference close to 68, we need the smallest number possible with a units digit 2 less than the larger number. This gives us 85208.

3. Check the Difference: 85210 - 85208 = 2. This is too small!

4. Adjust: We need to increase the difference. Let's rearrange the digits to make the larger number even larger. Trying 85120 and 85112 gives us:

* 85120 - 85112 = 8. Still too small!

5. Final Attempt: Let's try swapping the 2 and 1 in the larger number: 85210 - 85102 = 68

Solution

The correct arrangement is:

* 85210 - 85102 = 68