What three numbers have an average of 376?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 376. This means if we add these three numbers together and divide by 3, we should get 376.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 376 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 376 * 3 = x + y + z
- So, the sum of our three numbers should be: 1128
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1128.
Solution 1:
376, 376, 376
Verification:
(376 + 376 + 376) / 3 = 1128 / 3 ≈ 376
This solution is correct!
Solution 2:
376, 376, 376
Verification:
(376 + 376 + 376) / 3 = 1128 / 3 ≈ 376
This solution is correct!
Solution 3:
321, 668, 139
Verification:
(321 + 668 + 139) / 3 = 1128 / 3 ≈ 376
This solution is correct!
Solution 4:
1011, 85, 32
Verification:
(1011 + 85 + 32) / 3 = 1128 / 3 ≈ 376
This solution is correct!
Solution 5:
1049, 53, 26
Verification:
(1049 + 53 + 26) / 3 = 1128 / 3 ≈ 376
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 1128 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.