What three numbers have an average of 718?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 718. This means if we add these three numbers together and divide by 3, we should get 718.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 718 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 718 * 3 = x + y + z
- So, the sum of our three numbers should be: 2154
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2154.
Solution 1:
718, 718, 718
Verification:
(718 + 718 + 718) / 3 = 2154 / 3 ≈ 718
This solution is correct!
Solution 2:
718, 718, 718
Verification:
(718 + 718 + 718) / 3 = 2154 / 3 ≈ 718
This solution is correct!
Solution 3:
954, 787, 413
Verification:
(954 + 787 + 413) / 3 = 2154 / 3 ≈ 718
This solution is correct!
Solution 4:
1421, 673, 60
Verification:
(1421 + 673 + 60) / 3 = 2154 / 3 ≈ 718
This solution is correct!
Solution 5:
1161, 227, 766
Verification:
(1161 + 227 + 766) / 3 = 2154 / 3 ≈ 718
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 2154 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.