There are many ways to add any numbers 3,5,7,9,11, and 12 to get a sum of 20. Numbers may be repeated.One way to get a sum of 20 is 9+5+3+3. Find four other ways.

Play around with the numbers until you get 20. How is this sports math?

20=3+3+3+11

20=3+3+5+9
20=3+3+5+7
20=3+3+7+7

To find different ways to add the given numbers (3, 5, 7, 9, 11, and 12) to get a sum of 20, we can use a systematic approach.

We work through each number, allowing for repetition, and check if adding any combination of the remaining numbers will give us a sum of 20.

1. Start with the number 3:
- 3 + 3 + 7 + 7 = 20
- 3 + 5 + 5 + 7 = 20

2. Next, try the number 5:
- 5 + 5 + 5 + 5 = 20
- 5 + 7 + 7 + 3 = 20

3. Now, let's consider the number 7:
- 7 + 7 + 3 + 3 = 20
- 7 + 5 + 5 + 3 = 20

4. Moving on to the number 9:
- No combination with other numbers gives a sum of 20.

5. For the number 11:
- No combination with other numbers gives a sum of 20.

6. Finally, consider the number 12:
- No combination with other numbers gives a sum of 20.

Therefore, we have found the following four additional ways to add the numbers 3, 5, 7, 9, 11, and 12 to get a sum of 20:
- 3 + 3 + 7 + 7
- 3 + 5 + 5 + 7
- 5 + 5 + 5 + 5
- 5 + 7 + 7 + 3