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:
44, 434, 506
Verification:
(44 + 434 + 506) / 3 = 984 / 3 ≈ 328
This solution is correct!
Solution 4:
203, 556, 225
Verification:
(203 + 556 + 225) / 3 = 984 / 3 ≈ 328
This solution is correct!
Solution 5:
597, 361, 26
Verification:
(597 + 361 + 26) / 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.