Final answer:
To arrange the number cards into three pairs with the same total, pairs 4 and 6, 2 and 8, and 15 and 4 can be formed.
Step-by-step explanation:
To arrange the given number cards into three pairs with the same total, we need to find pairs that add up to the same number. Let's examine each possible pair:
- 4 and 6: The total is 10
- 2 and 8: The total is 10
- 15 and 4: The total is 19
- 2 and 6: The total is 8
- 15 and 4: The total is 19
- 15 and 2: The total is 17
- 8 and 4: The total is 12
- 2 and 15: The total is 17
- 6 and 8: The total is 14
We can see that the pairs 4 and 6, 2 and 8, and 15 and 4 have the same total of 10. Therefore, the three pairs with the same total are 4 and 6, 2 and 8, and 15 and 4.