What three numbers have an average of 143?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 143. This means if we add these three numbers together and divide by 3, we should get 143.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 143 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 143 * 3 = x + y + z
- So, the sum of our three numbers should be: 429
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 429.
Solution 1:
143, 143, 143
Verification:
(143 + 143 + 143) / 3 = 429 / 3 ≈ 143
This solution is correct!
Solution 2:
143, 143, 143
Verification:
(143 + 143 + 143) / 3 = 429 / 3 ≈ 143
This solution is correct!
Solution 3:
323, 18, 88
Verification:
(323 + 18 + 88) / 3 = 429 / 3 ≈ 143
This solution is correct!
Solution 4:
216, 204, 9
Verification:
(216 + 204 + 9) / 3 = 429 / 3 ≈ 143
This solution is correct!
Solution 5:
337, 41, 51
Verification:
(337 + 41 + 51) / 3 = 429 / 3 ≈ 143
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 429 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.