What three numbers have an average of 604?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 604. This means if we add these three numbers together and divide by 3, we should get 604.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 604 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 604 * 3 = x + y + z
- So, the sum of our three numbers should be: 1812
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1812.
Solution 1:
604, 604, 604
Verification:
(604 + 604 + 604) / 3 = 1812 / 3 ≈ 604
This solution is correct!
Solution 2:
604, 604, 604
Verification:
(604 + 604 + 604) / 3 = 1812 / 3 ≈ 604
This solution is correct!
Solution 3:
825, 678, 309
Verification:
(825 + 678 + 309) / 3 = 1812 / 3 ≈ 604
This solution is correct!
Solution 4:
725, 289, 798
Verification:
(725 + 289 + 798) / 3 = 1812 / 3 ≈ 604
This solution is correct!
Solution 5:
201, 1391, 220
Verification:
(201 + 1391 + 220) / 3 = 1812 / 3 ≈ 604
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 1812 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.