What three numbers have an average of 594?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 594. This means if we add these three numbers together and divide by 3, we should get 594.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 594 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 594 * 3 = x + y + z
- So, the sum of our three numbers should be: 1782
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1782.
Solution 1:
594, 594, 594
Verification:
(594 + 594 + 594) / 3 = 1782 / 3 ≈ 594
This solution is correct!
Solution 2:
594, 594, 594
Verification:
(594 + 594 + 594) / 3 = 1782 / 3 ≈ 594
This solution is correct!
Solution 3:
976, 640, 166
Verification:
(976 + 640 + 166) / 3 = 1782 / 3 ≈ 594
This solution is correct!
Solution 4:
1351, 350, 81
Verification:
(1351 + 350 + 81) / 3 = 1782 / 3 ≈ 594
This solution is correct!
Solution 5:
1353, 34, 395
Verification:
(1353 + 34 + 395) / 3 = 1782 / 3 ≈ 594
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 1782 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.