What three numbers have an average of 555?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 555. This means if we add these three numbers together and divide by 3, we should get 555.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 555 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 555 * 3 = x + y + z
- So, the sum of our three numbers should be: 1665
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1665.
Solution 1:
555, 555, 555
Verification:
(555 + 555 + 555) / 3 = 1665 / 3 ≈ 555
This solution is correct!
Solution 2:
555, 555, 555
Verification:
(555 + 555 + 555) / 3 = 1665 / 3 ≈ 555
This solution is correct!
Solution 3:
1014, 569, 82
Verification:
(1014 + 569 + 82) / 3 = 1665 / 3 ≈ 555
This solution is correct!
Solution 4:
1624, 23, 18
Verification:
(1624 + 23 + 18) / 3 = 1665 / 3 ≈ 555
This solution is correct!
Solution 5:
480, 463, 722
Verification:
(480 + 463 + 722) / 3 = 1665 / 3 ≈ 555
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 1665 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.