What three numbers have an average of 348?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 348. This means if we add these three numbers together and divide by 3, we should get 348.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 348 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 348 * 3 = x + y + z
- So, the sum of our three numbers should be: 1044
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1044.
Solution 1:
348, 348, 348
Verification:
(348 + 348 + 348) / 3 = 1044 / 3 ≈ 348
This solution is correct!
Solution 2:
348, 348, 348
Verification:
(348 + 348 + 348) / 3 = 1044 / 3 ≈ 348
This solution is correct!
Solution 3:
134, 89, 821
Verification:
(134 + 89 + 821) / 3 = 1044 / 3 ≈ 348
This solution is correct!
Solution 4:
711, 288, 45
Verification:
(711 + 288 + 45) / 3 = 1044 / 3 ≈ 348
This solution is correct!
Solution 5:
561, 286, 197
Verification:
(561 + 286 + 197) / 3 = 1044 / 3 ≈ 348
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 1044 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.