What three numbers have an average of 39?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 39. This means if we add these three numbers together and divide by 3, we should get 39.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 39 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 39 * 3 = x + y + z
- So, the sum of our three numbers should be: 117
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 117.
Solution 1:
39, 39, 39
Verification:
(39 + 39 + 39) / 3 = 117 / 3 ≈ 39
This solution is correct!
Solution 2:
39, 39, 39
Verification:
(39 + 39 + 39) / 3 = 117 / 3 ≈ 39
This solution is correct!
Solution 3:
67, 3, 47
Verification:
(67 + 3 + 47) / 3 = 117 / 3 ≈ 39
This solution is correct!
Solution 4:
91, 14, 12
Verification:
(91 + 14 + 12) / 3 = 117 / 3 ≈ 39
This solution is correct!
Solution 5:
104, 4, 9
Verification:
(104 + 4 + 9) / 3 = 117 / 3 ≈ 39
This solution is correct!
Explanation:
As you can see, there are many possible solutions. We can find more by:
- Choosing any two numbers
- Subtracting their sum from 117 to get the third number
Remember:
- The numbers don't have to be whole numbers.
- They can even be negative (although that might not make sense in some real-world contexts).
- The order of the numbers doesn't matter for the average.