What three numbers have an average of 326?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 326. This means if we add these three numbers together and divide by 3, we should get 326.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 326 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 326 * 3 = x + y + z
- So, the sum of our three numbers should be: 978
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 978.
Solution 1:
326, 326, 326
Verification:
(326 + 326 + 326) / 3 = 978 / 3 ≈ 326
This solution is correct!
Solution 2:
326, 326, 326
Verification:
(326 + 326 + 326) / 3 = 978 / 3 ≈ 326
This solution is correct!
Solution 3:
466, 434, 78
Verification:
(466 + 434 + 78) / 3 = 978 / 3 ≈ 326
This solution is correct!
Solution 4:
119, 631, 228
Verification:
(119 + 631 + 228) / 3 = 978 / 3 ≈ 326
This solution is correct!
Solution 5:
372, 180, 426
Verification:
(372 + 180 + 426) / 3 = 978 / 3 ≈ 326
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 978 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.