What three numbers have an average of 593?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 593. This means if we add these three numbers together and divide by 3, we should get 593.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 593 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 593 * 3 = x + y + z
- So, the sum of our three numbers should be: 1779
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1779.
Solution 1:
593, 593, 593
Verification:
(593 + 593 + 593) / 3 = 1779 / 3 ≈ 593
This solution is correct!
Solution 2:
593, 593, 593
Verification:
(593 + 593 + 593) / 3 = 1779 / 3 ≈ 593
This solution is correct!
Solution 3:
919, 48, 812
Verification:
(919 + 48 + 812) / 3 = 1779 / 3 ≈ 593
This solution is correct!
Solution 4:
340, 85, 1354
Verification:
(340 + 85 + 1354) / 3 = 1779 / 3 ≈ 593
This solution is correct!
Solution 5:
914, 605, 260
Verification:
(914 + 605 + 260) / 3 = 1779 / 3 ≈ 593
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 1779 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.