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:
140, 124, 159
Verification:
(140 + 124 + 159) / 3 = 423 / 3 ≈ 141
This solution is correct!
Solution 4:
212, 100, 111
Verification:
(212 + 100 + 111) / 3 = 423 / 3 ≈ 141
This solution is correct!
Solution 5:
186, 205, 32
Verification:
(186 + 205 + 32) / 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.