What three numbers have an average of 139?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 139. This means if we add these three numbers together and divide by 3, we should get 139.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 139 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 139 * 3 = x + y + z
- So, the sum of our three numbers should be: 417
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 417.
Solution 1:
139, 139, 139
Verification:
(139 + 139 + 139) / 3 = 417 / 3 ≈ 139
This solution is correct!
Solution 2:
139, 139, 139
Verification:
(139 + 139 + 139) / 3 = 417 / 3 ≈ 139
This solution is correct!
Solution 3:
355, 50, 12
Verification:
(355 + 50 + 12) / 3 = 417 / 3 ≈ 139
This solution is correct!
Solution 4:
52, 51, 314
Verification:
(52 + 51 + 314) / 3 = 417 / 3 ≈ 139
This solution is correct!
Solution 5:
164, 5, 248
Verification:
(164 + 5 + 248) / 3 = 417 / 3 ≈ 139
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 417 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.