Final answer:
The largest two-digit subtraction problem is 99 - 10, which equals 89, hence the greatest possible difference for two-digit numbers is 89.
Step-by-step explanation:
To find the two-digit subtraction problem that yields the greatest difference, you should choose the largest two-digit number to subtract from and the smallest two-digit number to subtract. The largest two-digit number is 99, and the smallest two-digit number is 10, so the subtraction problem would be 99 - 10.
The difference is obtained by subtracting the smaller number from the larger one:
99
- 10
____
89
The greatest difference you can get from a two-digit subtraction problem is 89.