What three numbers have an average of 252?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 252. This means if we add these three numbers together and divide by 3, we should get 252.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 252 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 252 * 3 = x + y + z
- So, the sum of our three numbers should be: 756
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 756.
Solution 1:
252, 252, 252
Verification:
(252 + 252 + 252) / 3 = 756 / 3 ≈ 252
This solution is correct!
Solution 2:
252, 252, 252
Verification:
(252 + 252 + 252) / 3 = 756 / 3 ≈ 252
This solution is correct!
Solution 3:
144, 568, 44
Verification:
(144 + 568 + 44) / 3 = 756 / 3 ≈ 252
This solution is correct!
Solution 4:
743, 10, 3
Verification:
(743 + 10 + 3) / 3 = 756 / 3 ≈ 252
This solution is correct!
Solution 5:
369, 97, 290
Verification:
(369 + 97 + 290) / 3 = 756 / 3 ≈ 252
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 756 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.