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:
400, 220, 508
Verification:
(400 + 220 + 508) / 3 = 1128 / 3 ≈ 376
This solution is correct!
Solution 4:
515, 327, 286
Verification:
(515 + 327 + 286) / 3 = 1128 / 3 ≈ 376
This solution is correct!
Solution 5:
246, 268, 614
Verification:
(246 + 268 + 614) / 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.