What three numbers have an average of 904?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 904. This means if we add these three numbers together and divide by 3, we should get 904.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 904 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 904 * 3 = x + y + z
- So, the sum of our three numbers should be: 2712
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2712.
Solution 1:
904, 904, 904
Verification:
(904 + 904 + 904) / 3 = 2712 / 3 ≈ 904
This solution is correct!
Solution 2:
904, 904, 904
Verification:
(904 + 904 + 904) / 3 = 2712 / 3 ≈ 904
This solution is correct!
Solution 3:
253, 2407, 52
Verification:
(253 + 2407 + 52) / 3 = 2712 / 3 ≈ 904
This solution is correct!
Solution 4:
2120, 588, 4
Verification:
(2120 + 588 + 4) / 3 = 2712 / 3 ≈ 904
This solution is correct!
Solution 5:
1462, 601, 649
Verification:
(1462 + 601 + 649) / 3 = 2712 / 3 ≈ 904
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 2712 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.