What three numbers have an average of 915?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 915. This means if we add these three numbers together and divide by 3, we should get 915.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 915 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 915 * 3 = x + y + z
- So, the sum of our three numbers should be: 2745
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2745.
Solution 1:
915, 915, 915
Verification:
(915 + 915 + 915) / 3 = 2745 / 3 ≈ 915
This solution is correct!
Solution 2:
915, 915, 915
Verification:
(915 + 915 + 915) / 3 = 2745 / 3 ≈ 915
This solution is correct!
Solution 3:
1685, 140, 920
Verification:
(1685 + 140 + 920) / 3 = 2745 / 3 ≈ 915
This solution is correct!
Solution 4:
941, 701, 1103
Verification:
(941 + 701 + 1103) / 3 = 2745 / 3 ≈ 915
This solution is correct!
Solution 5:
122, 200, 2423
Verification:
(122 + 200 + 2423) / 3 = 2745 / 3 ≈ 915
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 2745 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.