What three numbers have an average of 939?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 939. This means if we add these three numbers together and divide by 3, we should get 939.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 939 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 939 * 3 = x + y + z
- So, the sum of our three numbers should be: 2817
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2817.
Solution 1:
939, 939, 939
Verification:
(939 + 939 + 939) / 3 = 2817 / 3 ≈ 939
This solution is correct!
Solution 2:
939, 939, 939
Verification:
(939 + 939 + 939) / 3 = 2817 / 3 ≈ 939
This solution is correct!
Solution 3:
780, 1669, 368
Verification:
(780 + 1669 + 368) / 3 = 2817 / 3 ≈ 939
This solution is correct!
Solution 4:
1070, 922, 825
Verification:
(1070 + 922 + 825) / 3 = 2817 / 3 ≈ 939
This solution is correct!
Solution 5:
1265, 219, 1333
Verification:
(1265 + 219 + 1333) / 3 = 2817 / 3 ≈ 939
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 2817 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.