What three numbers have an average of 881?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 881. This means if we add these three numbers together and divide by 3, we should get 881.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 881 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 881 * 3 = x + y + z
- So, the sum of our three numbers should be: 2643
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2643.
Solution 1:
881, 881, 881
Verification:
(881 + 881 + 881) / 3 = 2643 / 3 ≈ 881
This solution is correct!
Solution 2:
881, 881, 881
Verification:
(881 + 881 + 881) / 3 = 2643 / 3 ≈ 881
This solution is correct!
Solution 3:
1055, 1389, 199
Verification:
(1055 + 1389 + 199) / 3 = 2643 / 3 ≈ 881
This solution is correct!
Solution 4:
2311, 141, 191
Verification:
(2311 + 141 + 191) / 3 = 2643 / 3 ≈ 881
This solution is correct!
Solution 5:
510, 500, 1633
Verification:
(510 + 500 + 1633) / 3 = 2643 / 3 ≈ 881
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 2643 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.