What three numbers have an average of 333?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 333. This means if we add these three numbers together and divide by 3, we should get 333.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 333 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 333 * 3 = x + y + z
- So, the sum of our three numbers should be: 999
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 999.
Solution 1:
333, 333, 333
Verification:
(333 + 333 + 333) / 3 = 999 / 3 ≈ 333
This solution is correct!
Solution 2:
333, 333, 333
Verification:
(333 + 333 + 333) / 3 = 999 / 3 ≈ 333
This solution is correct!
Solution 3:
292, 493, 214
Verification:
(292 + 493 + 214) / 3 = 999 / 3 ≈ 333
This solution is correct!
Solution 4:
475, 334, 190
Verification:
(475 + 334 + 190) / 3 = 999 / 3 ≈ 333
This solution is correct!
Solution 5:
864, 100, 35
Verification:
(864 + 100 + 35) / 3 = 999 / 3 ≈ 333
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 999 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.