i have 39 32 11 24 13. how do i make those numbers equal 109

To make the numbers \( 39, 32, 11, 24, 13 \) equal 109, one method is to sum a selection of them. Let's check the combinations to see if a subset or a combination of operations can produce 109.

### Approach:
- First, try adding them up in different combinations:

1. \( 39 + 32 + 11 + 24 + 13 = 119 \), which is too large.
2. \( 39 + 32 + 11 + 13 = 95 \)
3. \( 32 + 11 + 24 + 13 = 80 \)
4. \( 39 + 32 + 24 = 95 \)
5. \( 39 + 32 + 13 = 84 \)
6. \( 39 + 32 = 71 \)

### Modified approach: Adding operations
Let's combine addition and subtraction:

1. \( 39 + 32 + 24 + 13 - 11 = 109 \)

Thus, by adding 39, 32, 24, and 13 and subtracting 11, you get 109.

Would you like more details or explanations?

Here are 5 related questions:
1. How would you solve this problem if only addition was allowed?
2. Can you find a combination of these numbers to equal a different sum, like 100?
3. How could multiplication or division be used in this case?
4. What if we added a new number to this set—what would be a useful number to achieve 109 easily?
5. Can you prove that there are no other combinations that result in 109?

**Tip:** When working with number combinations, try both addition and subtraction to achieve desired results efficiently.

Learn how to solve a problem where you must select and combine numbers (39, 32, 11, 24, 13) to achieve a sum of 109 using addition and subtraction. This solution demonstrates a method for efficiently working with number combinations. Suitable for students in Grades 6-8.

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