What three numbers have an average of 377?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 377. This means if we add these three numbers together and divide by 3, we should get 377.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 377 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 377 * 3 = x + y + z
- So, the sum of our three numbers should be: 1131
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1131.
Solution 1:
377, 377, 377
Verification:
(377 + 377 + 377) / 3 = 1131 / 3 ≈ 377
This solution is correct!
Solution 2:
377, 377, 377
Verification:
(377 + 377 + 377) / 3 = 1131 / 3 ≈ 377
This solution is correct!
Solution 3:
872, 148, 111
Verification:
(872 + 148 + 111) / 3 = 1131 / 3 ≈ 377
This solution is correct!
Solution 4:
597, 434, 100
Verification:
(597 + 434 + 100) / 3 = 1131 / 3 ≈ 377
This solution is correct!
Solution 5:
291, 477, 363
Verification:
(291 + 477 + 363) / 3 = 1131 / 3 ≈ 377
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 1131 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.