What three numbers have an average of 558?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 558. This means if we add these three numbers together and divide by 3, we should get 558.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 558 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 558 * 3 = x + y + z
- So, the sum of our three numbers should be: 1674
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1674.
Solution 1:
558, 558, 558
Verification:
(558 + 558 + 558) / 3 = 1674 / 3 ≈ 558
This solution is correct!
Solution 2:
558, 558, 558
Verification:
(558 + 558 + 558) / 3 = 1674 / 3 ≈ 558
This solution is correct!
Solution 3:
698, 865, 111
Verification:
(698 + 865 + 111) / 3 = 1674 / 3 ≈ 558
This solution is correct!
Solution 4:
1011, 472, 191
Verification:
(1011 + 472 + 191) / 3 = 1674 / 3 ≈ 558
This solution is correct!
Solution 5:
1153, 124, 397
Verification:
(1153 + 124 + 397) / 3 = 1674 / 3 ≈ 558
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 1674 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.