What three numbers have an average of 328?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 328. This means if we add these three numbers together and divide by 3, we should get 328.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 328 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 328 * 3 = x + y + z
- So, the sum of our three numbers should be: 984
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 984.
Solution 1:
328, 328, 328
Verification:
(328 + 328 + 328) / 3 = 984 / 3 ≈ 328
This solution is correct!
Solution 2:
328, 328, 328
Verification:
(328 + 328 + 328) / 3 = 984 / 3 ≈ 328
This solution is correct!
Solution 3:
905, 55, 24
Verification:
(905 + 55 + 24) / 3 = 984 / 3 ≈ 328
This solution is correct!
Solution 4:
447, 453, 84
Verification:
(447 + 453 + 84) / 3 = 984 / 3 ≈ 328
This solution is correct!
Solution 5:
323, 33, 628
Verification:
(323 + 33 + 628) / 3 = 984 / 3 ≈ 328
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 984 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.