What three numbers have an average of 308?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 308. This means if we add these three numbers together and divide by 3, we should get 308.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 308 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 308 * 3 = x + y + z
- So, the sum of our three numbers should be: 924
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 924.
Solution 1:
308, 308, 308
Verification:
(308 + 308 + 308) / 3 = 924 / 3 ≈ 308
This solution is correct!
Solution 2:
308, 308, 308
Verification:
(308 + 308 + 308) / 3 = 924 / 3 ≈ 308
This solution is correct!
Solution 3:
674, 154, 96
Verification:
(674 + 154 + 96) / 3 = 924 / 3 ≈ 308
This solution is correct!
Solution 4:
797, 36, 91
Verification:
(797 + 36 + 91) / 3 = 924 / 3 ≈ 308
This solution is correct!
Solution 5:
708, 119, 97
Verification:
(708 + 119 + 97) / 3 = 924 / 3 ≈ 308
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 924 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.