What three numbers have an average of 372?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 372. This means if we add these three numbers together and divide by 3, we should get 372.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 372 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 372 * 3 = x + y + z
- So, the sum of our three numbers should be: 1116
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1116.
Solution 1:
372, 372, 372
Verification:
(372 + 372 + 372) / 3 = 1116 / 3 ≈ 372
This solution is correct!
Solution 2:
372, 372, 372
Verification:
(372 + 372 + 372) / 3 = 1116 / 3 ≈ 372
This solution is correct!
Solution 3:
648, 51, 417
Verification:
(648 + 51 + 417) / 3 = 1116 / 3 ≈ 372
This solution is correct!
Solution 4:
1102, 6, 8
Verification:
(1102 + 6 + 8) / 3 = 1116 / 3 ≈ 372
This solution is correct!
Solution 5:
512, 475, 129
Verification:
(512 + 475 + 129) / 3 = 1116 / 3 ≈ 372
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 1116 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.