What three numbers have an average of 439?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 439. This means if we add these three numbers together and divide by 3, we should get 439.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 439 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 439 * 3 = x + y + z
- So, the sum of our three numbers should be: 1317
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1317.
Solution 1:
439, 439, 439
Verification:
(439 + 439 + 439) / 3 = 1317 / 3 ≈ 439
This solution is correct!
Solution 2:
439, 439, 439
Verification:
(439 + 439 + 439) / 3 = 1317 / 3 ≈ 439
This solution is correct!
Solution 3:
643, 99, 575
Verification:
(643 + 99 + 575) / 3 = 1317 / 3 ≈ 439
This solution is correct!
Solution 4:
503, 539, 275
Verification:
(503 + 539 + 275) / 3 = 1317 / 3 ≈ 439
This solution is correct!
Solution 5:
761, 78, 478
Verification:
(761 + 78 + 478) / 3 = 1317 / 3 ≈ 439
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 1317 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.