What three numbers have an average of 334?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 334. This means if we add these three numbers together and divide by 3, we should get 334.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 334 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 334 * 3 = x + y + z
- So, the sum of our three numbers should be: 1002
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1002.
Solution 1:
334, 334, 334
Verification:
(334 + 334 + 334) / 3 = 1002 / 3 ≈ 334
This solution is correct!
Solution 2:
334, 334, 334
Verification:
(334 + 334 + 334) / 3 = 1002 / 3 ≈ 334
This solution is correct!
Solution 3:
239, 252, 511
Verification:
(239 + 252 + 511) / 3 = 1002 / 3 ≈ 334
This solution is correct!
Solution 4:
174, 519, 309
Verification:
(174 + 519 + 309) / 3 = 1002 / 3 ≈ 334
This solution is correct!
Solution 5:
756, 128, 118
Verification:
(756 + 128 + 118) / 3 = 1002 / 3 ≈ 334
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 1002 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.