What three numbers have an average of 892?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 892. This means if we add these three numbers together and divide by 3, we should get 892.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 892 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 892 * 3 = x + y + z
- So, the sum of our three numbers should be: 2676
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2676.
Solution 1:
892, 892, 892
Verification:
(892 + 892 + 892) / 3 = 2676 / 3 ≈ 892
This solution is correct!
Solution 2:
892, 892, 892
Verification:
(892 + 892 + 892) / 3 = 2676 / 3 ≈ 892
This solution is correct!
Solution 3:
881, 962, 833
Verification:
(881 + 962 + 833) / 3 = 2676 / 3 ≈ 892
This solution is correct!
Solution 4:
485, 1456, 735
Verification:
(485 + 1456 + 735) / 3 = 2676 / 3 ≈ 892
This solution is correct!
Solution 5:
695, 1910, 71
Verification:
(695 + 1910 + 71) / 3 = 2676 / 3 ≈ 892
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 2676 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.