What three numbers have an average of 921?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 921. This means if we add these three numbers together and divide by 3, we should get 921.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 921 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 921 * 3 = x + y + z
- So, the sum of our three numbers should be: 2763
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2763.
Solution 1:
921, 921, 921
Verification:
(921 + 921 + 921) / 3 = 2763 / 3 ≈ 921
This solution is correct!
Solution 2:
921, 921, 921
Verification:
(921 + 921 + 921) / 3 = 2763 / 3 ≈ 921
This solution is correct!
Solution 3:
2658, 7, 98
Verification:
(2658 + 7 + 98) / 3 = 2763 / 3 ≈ 921
This solution is correct!
Solution 4:
2315, 172, 276
Verification:
(2315 + 172 + 276) / 3 = 2763 / 3 ≈ 921
This solution is correct!
Solution 5:
709, 1748, 306
Verification:
(709 + 1748 + 306) / 3 = 2763 / 3 ≈ 921
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 2763 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.