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:
2336, 15, 361
Verification:
(2336 + 15 + 361) / 3 = 2712 / 3 ≈ 904
This solution is correct!
Solution 4:
1696, 406, 610
Verification:
(1696 + 406 + 610) / 3 = 2712 / 3 ≈ 904
This solution is correct!
Solution 5:
2419, 72, 221
Verification:
(2419 + 72 + 221) / 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.