What three numbers have an average of 304?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 304. This means if we add these three numbers together and divide by 3, we should get 304.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 304 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 304 * 3 = x + y + z
- So, the sum of our three numbers should be: 912
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 912.
Solution 1:
304, 304, 304
Verification:
(304 + 304 + 304) / 3 = 912 / 3 ≈ 304
This solution is correct!
Solution 2:
304, 304, 304
Verification:
(304 + 304 + 304) / 3 = 912 / 3 ≈ 304
This solution is correct!
Solution 3:
233, 648, 31
Verification:
(233 + 648 + 31) / 3 = 912 / 3 ≈ 304
This solution is correct!
Solution 4:
818, 88, 6
Verification:
(818 + 88 + 6) / 3 = 912 / 3 ≈ 304
This solution is correct!
Solution 5:
59, 449, 404
Verification:
(59 + 449 + 404) / 3 = 912 / 3 ≈ 304
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 912 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.