What three numbers have an average of 188?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 188. This means if we add these three numbers together and divide by 3, we should get 188.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 188 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 188 * 3 = x + y + z
- So, the sum of our three numbers should be: 564
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 564.
Solution 1:
188, 188, 188
Verification:
(188 + 188 + 188) / 3 = 564 / 3 ≈ 188
This solution is correct!
Solution 2:
188, 188, 188
Verification:
(188 + 188 + 188) / 3 = 564 / 3 ≈ 188
This solution is correct!
Solution 3:
151, 331, 82
Verification:
(151 + 331 + 82) / 3 = 564 / 3 ≈ 188
This solution is correct!
Solution 4:
212, 77, 275
Verification:
(212 + 77 + 275) / 3 = 564 / 3 ≈ 188
This solution is correct!
Solution 5:
345, 187, 32
Verification:
(345 + 187 + 32) / 3 = 564 / 3 ≈ 188
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 564 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.