What three numbers have an average of 891?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 891. This means if we add these three numbers together and divide by 3, we should get 891.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 891 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 891 * 3 = x + y + z
- So, the sum of our three numbers should be: 2673
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2673.
Solution 1:
891, 891, 891
Verification:
(891 + 891 + 891) / 3 = 2673 / 3 ≈ 891
This solution is correct!
Solution 2:
891, 891, 891
Verification:
(891 + 891 + 891) / 3 = 2673 / 3 ≈ 891
This solution is correct!
Solution 3:
14, 2534, 125
Verification:
(14 + 2534 + 125) / 3 = 2673 / 3 ≈ 891
This solution is correct!
Solution 4:
711, 640, 1322
Verification:
(711 + 640 + 1322) / 3 = 2673 / 3 ≈ 891
This solution is correct!
Solution 5:
366, 1019, 1288
Verification:
(366 + 1019 + 1288) / 3 = 2673 / 3 ≈ 891
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 2673 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.