What three numbers have an average of 134?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 134. This means if we add these three numbers together and divide by 3, we should get 134.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 134 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 134 * 3 = x + y + z
- So, the sum of our three numbers should be: 402
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 402.
Solution 1:
134, 134, 134
Verification:
(134 + 134 + 134) / 3 = 402 / 3 ≈ 134
This solution is correct!
Solution 2:
134, 134, 134
Verification:
(134 + 134 + 134) / 3 = 402 / 3 ≈ 134
This solution is correct!
Solution 3:
60, 49, 293
Verification:
(60 + 49 + 293) / 3 = 402 / 3 ≈ 134
This solution is correct!
Solution 4:
164, 218, 20
Verification:
(164 + 218 + 20) / 3 = 402 / 3 ≈ 134
This solution is correct!
Solution 5:
176, 98, 128
Verification:
(176 + 98 + 128) / 3 = 402 / 3 ≈ 134
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 402 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.