What three numbers have an average of 928?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 928. This means if we add these three numbers together and divide by 3, we should get 928.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 928 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 928 * 3 = x + y + z
- So, the sum of our three numbers should be: 2784
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2784.
Solution 1:
928, 928, 928
Verification:
(928 + 928 + 928) / 3 = 2784 / 3 ≈ 928
This solution is correct!
Solution 2:
928, 928, 928
Verification:
(928 + 928 + 928) / 3 = 2784 / 3 ≈ 928
This solution is correct!
Solution 3:
1877, 342, 565
Verification:
(1877 + 342 + 565) / 3 = 2784 / 3 ≈ 928
This solution is correct!
Solution 4:
1217, 927, 640
Verification:
(1217 + 927 + 640) / 3 = 2784 / 3 ≈ 928
This solution is correct!
Solution 5:
491, 1785, 508
Verification:
(491 + 1785 + 508) / 3 = 2784 / 3 ≈ 928
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 2784 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.