What three numbers have an average of 883?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 883. This means if we add these three numbers together and divide by 3, we should get 883.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 883 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 883 * 3 = x + y + z
- So, the sum of our three numbers should be: 2649
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2649.
Solution 1:
883, 883, 883
Verification:
(883 + 883 + 883) / 3 = 2649 / 3 ≈ 883
This solution is correct!
Solution 2:
883, 883, 883
Verification:
(883 + 883 + 883) / 3 = 2649 / 3 ≈ 883
This solution is correct!
Solution 3:
2479, 42, 128
Verification:
(2479 + 42 + 128) / 3 = 2649 / 3 ≈ 883
This solution is correct!
Solution 4:
1686, 65, 898
Verification:
(1686 + 65 + 898) / 3 = 2649 / 3 ≈ 883
This solution is correct!
Solution 5:
484, 654, 1511
Verification:
(484 + 654 + 1511) / 3 = 2649 / 3 ≈ 883
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 2649 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.