What three numbers have an average of 950?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 950. This means if we add these three numbers together and divide by 3, we should get 950.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 950 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 950 * 3 = x + y + z
- So, the sum of our three numbers should be: 2850
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2850.
Solution 1:
950, 950, 950
Verification:
(950 + 950 + 950) / 3 = 2850 / 3 ≈ 950
This solution is correct!
Solution 2:
950, 950, 950
Verification:
(950 + 950 + 950) / 3 = 2850 / 3 ≈ 950
This solution is correct!
Solution 3:
386, 341, 2123
Verification:
(386 + 341 + 2123) / 3 = 2850 / 3 ≈ 950
This solution is correct!
Solution 4:
104, 1214, 1532
Verification:
(104 + 1214 + 1532) / 3 = 2850 / 3 ≈ 950
This solution is correct!
Solution 5:
423, 989, 1438
Verification:
(423 + 989 + 1438) / 3 = 2850 / 3 ≈ 950
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 2850 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.