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:
413, 3, 1
Verification:
(413 + 3 + 1) / 3 = 417 / 3 ≈ 139
This solution is correct!
Solution 4:
252, 159, 6
Verification:
(252 + 159 + 6) / 3 = 417 / 3 ≈ 139
This solution is correct!
Solution 5:
158, 179, 80
Verification:
(158 + 179 + 80) / 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.