What three numbers have an average of 944?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 944. This means if we add these three numbers together and divide by 3, we should get 944.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 944 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 944 * 3 = x + y + z
- So, the sum of our three numbers should be: 2832
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2832.
Solution 1:
944, 944, 944
Verification:
(944 + 944 + 944) / 3 = 2832 / 3 ≈ 944
This solution is correct!
Solution 2:
944, 944, 944
Verification:
(944 + 944 + 944) / 3 = 2832 / 3 ≈ 944
This solution is correct!
Solution 3:
465, 837, 1530
Verification:
(465 + 837 + 1530) / 3 = 2832 / 3 ≈ 944
This solution is correct!
Solution 4:
543, 1610, 679
Verification:
(543 + 1610 + 679) / 3 = 2832 / 3 ≈ 944
This solution is correct!
Solution 5:
714, 1265, 853
Verification:
(714 + 1265 + 853) / 3 = 2832 / 3 ≈ 944
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 2832 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.