What three numbers have an average of 886?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 886. This means if we add these three numbers together and divide by 3, we should get 886.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 886 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 886 * 3 = x + y + z
- So, the sum of our three numbers should be: 2658
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2658.
Solution 1:
886, 886, 886
Verification:
(886 + 886 + 886) / 3 = 2658 / 3 ≈ 886
This solution is correct!
Solution 2:
886, 886, 886
Verification:
(886 + 886 + 886) / 3 = 2658 / 3 ≈ 886
This solution is correct!
Solution 3:
362, 1317, 979
Verification:
(362 + 1317 + 979) / 3 = 2658 / 3 ≈ 886
This solution is correct!
Solution 4:
697, 1659, 302
Verification:
(697 + 1659 + 302) / 3 = 2658 / 3 ≈ 886
This solution is correct!
Solution 5:
1084, 578, 996
Verification:
(1084 + 578 + 996) / 3 = 2658 / 3 ≈ 886
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 2658 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.