What three numbers have an average of 141?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 141. This means if we add these three numbers together and divide by 3, we should get 141.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 141 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 141 * 3 = x + y + z
- So, the sum of our three numbers should be: 423
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 423.
Solution 1:
141, 141, 141
Verification:
(141 + 141 + 141) / 3 = 423 / 3 ≈ 141
This solution is correct!
Solution 2:
141, 141, 141
Verification:
(141 + 141 + 141) / 3 = 423 / 3 ≈ 141
This solution is correct!
Solution 3:
101, 283, 39
Verification:
(101 + 283 + 39) / 3 = 423 / 3 ≈ 141
This solution is correct!
Solution 4:
159, 256, 8
Verification:
(159 + 256 + 8) / 3 = 423 / 3 ≈ 141
This solution is correct!
Solution 5:
172, 240, 11
Verification:
(172 + 240 + 11) / 3 = 423 / 3 ≈ 141
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 423 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.