What three numbers have an average of 375?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 375. This means if we add these three numbers together and divide by 3, we should get 375.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 375 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 375 * 3 = x + y + z
- So, the sum of our three numbers should be: 1125
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1125.
Solution 1:
375, 375, 375
Verification:
(375 + 375 + 375) / 3 = 1125 / 3 ≈ 375
This solution is correct!
Solution 2:
375, 375, 375
Verification:
(375 + 375 + 375) / 3 = 1125 / 3 ≈ 375
This solution is correct!
Solution 3:
599, 83, 443
Verification:
(599 + 83 + 443) / 3 = 1125 / 3 ≈ 375
This solution is correct!
Solution 4:
964, 12, 149
Verification:
(964 + 12 + 149) / 3 = 1125 / 3 ≈ 375
This solution is correct!
Solution 5:
670, 256, 199
Verification:
(670 + 256 + 199) / 3 = 1125 / 3 ≈ 375
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 1125 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.