What three numbers have an average of 391?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 391. This means if we add these three numbers together and divide by 3, we should get 391.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 391 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 391 * 3 = x + y + z
- So, the sum of our three numbers should be: 1173
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1173.
Solution 1:
391, 391, 391
Verification:
(391 + 391 + 391) / 3 = 1173 / 3 ≈ 391
This solution is correct!
Solution 2:
391, 391, 391
Verification:
(391 + 391 + 391) / 3 = 1173 / 3 ≈ 391
This solution is correct!
Solution 3:
579, 561, 33
Verification:
(579 + 561 + 33) / 3 = 1173 / 3 ≈ 391
This solution is correct!
Solution 4:
851, 228, 94
Verification:
(851 + 228 + 94) / 3 = 1173 / 3 ≈ 391
This solution is correct!
Solution 5:
569, 549, 55
Verification:
(569 + 549 + 55) / 3 = 1173 / 3 ≈ 391
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 1173 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.