What three numbers have an average of 388?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 388. This means if we add these three numbers together and divide by 3, we should get 388.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 388 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 388 * 3 = x + y + z
- So, the sum of our three numbers should be: 1164
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1164.
Solution 1:
388, 388, 388
Verification:
(388 + 388 + 388) / 3 = 1164 / 3 ≈ 388
This solution is correct!
Solution 2:
388, 388, 388
Verification:
(388 + 388 + 388) / 3 = 1164 / 3 ≈ 388
This solution is correct!
Solution 3:
391, 666, 107
Verification:
(391 + 666 + 107) / 3 = 1164 / 3 ≈ 388
This solution is correct!
Solution 4:
855, 144, 165
Verification:
(855 + 144 + 165) / 3 = 1164 / 3 ≈ 388
This solution is correct!
Solution 5:
76, 165, 923
Verification:
(76 + 165 + 923) / 3 = 1164 / 3 ≈ 388
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 1164 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.