What three numbers have an average of 615?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 615. This means if we add these three numbers together and divide by 3, we should get 615.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 615 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 615 * 3 = x + y + z
- So, the sum of our three numbers should be: 1845
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1845.
Solution 1:
615, 615, 615
Verification:
(615 + 615 + 615) / 3 = 1845 / 3 ≈ 615
This solution is correct!
Solution 2:
615, 615, 615
Verification:
(615 + 615 + 615) / 3 = 1845 / 3 ≈ 615
This solution is correct!
Solution 3:
758, 693, 394
Verification:
(758 + 693 + 394) / 3 = 1845 / 3 ≈ 615
This solution is correct!
Solution 4:
1714, 95, 36
Verification:
(1714 + 95 + 36) / 3 = 1845 / 3 ≈ 615
This solution is correct!
Solution 5:
304, 690, 851
Verification:
(304 + 690 + 851) / 3 = 1845 / 3 ≈ 615
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 1845 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.