What three numbers have an average of 721?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 721. This means if we add these three numbers together and divide by 3, we should get 721.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 721 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 721 * 3 = x + y + z
- So, the sum of our three numbers should be: 2163
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2163.
Solution 1:
721, 721, 721
Verification:
(721 + 721 + 721) / 3 = 2163 / 3 ≈ 721
This solution is correct!
Solution 2:
721, 721, 721
Verification:
(721 + 721 + 721) / 3 = 2163 / 3 ≈ 721
This solution is correct!
Solution 3:
58, 1350, 755
Verification:
(58 + 1350 + 755) / 3 = 2163 / 3 ≈ 721
This solution is correct!
Solution 4:
425, 341, 1397
Verification:
(425 + 341 + 1397) / 3 = 2163 / 3 ≈ 721
This solution is correct!
Solution 5:
706, 1134, 323
Verification:
(706 + 1134 + 323) / 3 = 2163 / 3 ≈ 721
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 2163 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.