What three numbers have an average of 572?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 572. This means if we add these three numbers together and divide by 3, we should get 572.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 572 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 572 * 3 = x + y + z
- So, the sum of our three numbers should be: 1716
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1716.
Solution 1:
572, 572, 572
Verification:
(572 + 572 + 572) / 3 = 1716 / 3 ≈ 572
This solution is correct!
Solution 2:
572, 572, 572
Verification:
(572 + 572 + 572) / 3 = 1716 / 3 ≈ 572
This solution is correct!
Solution 3:
776, 331, 609
Verification:
(776 + 331 + 609) / 3 = 1716 / 3 ≈ 572
This solution is correct!
Solution 4:
1508, 42, 166
Verification:
(1508 + 42 + 166) / 3 = 1716 / 3 ≈ 572
This solution is correct!
Solution 5:
802, 201, 713
Verification:
(802 + 201 + 713) / 3 = 1716 / 3 ≈ 572
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 1716 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.