What three numbers have an average of 250?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 250. This means if we add these three numbers together and divide by 3, we should get 250.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 250 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 250 * 3 = x + y + z
- So, the sum of our three numbers should be: 750
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 750.
Solution 1:
250, 250, 250
Verification:
(250 + 250 + 250) / 3 = 750 / 3 ≈ 250
This solution is correct!
Solution 2:
250, 250, 250
Verification:
(250 + 250 + 250) / 3 = 750 / 3 ≈ 250
This solution is correct!
Solution 3:
596, 40, 114
Verification:
(596 + 40 + 114) / 3 = 750 / 3 ≈ 250
This solution is correct!
Solution 4:
16, 96, 638
Verification:
(16 + 96 + 638) / 3 = 750 / 3 ≈ 250
This solution is correct!
Solution 5:
31, 163, 556
Verification:
(31 + 163 + 556) / 3 = 750 / 3 ≈ 250
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 750 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.