What three numbers have an average of 908?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 908. This means if we add these three numbers together and divide by 3, we should get 908.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 908 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 908 * 3 = x + y + z
- So, the sum of our three numbers should be: 2724
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2724.
Solution 1:
908, 908, 908
Verification:
(908 + 908 + 908) / 3 = 2724 / 3 ≈ 908
This solution is correct!
Solution 2:
908, 908, 908
Verification:
(908 + 908 + 908) / 3 = 2724 / 3 ≈ 908
This solution is correct!
Solution 3:
1701, 850, 173
Verification:
(1701 + 850 + 173) / 3 = 2724 / 3 ≈ 908
This solution is correct!
Solution 4:
31, 795, 1898
Verification:
(31 + 795 + 1898) / 3 = 2724 / 3 ≈ 908
This solution is correct!
Solution 5:
1075, 802, 847
Verification:
(1075 + 802 + 847) / 3 = 2724 / 3 ≈ 908
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 2724 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.