What three numbers have an average of 335?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 335. This means if we add these three numbers together and divide by 3, we should get 335.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 335 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 335 * 3 = x + y + z
- So, the sum of our three numbers should be: 1005
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1005.
Solution 1:
335, 335, 335
Verification:
(335 + 335 + 335) / 3 = 1005 / 3 ≈ 335
This solution is correct!
Solution 2:
335, 335, 335
Verification:
(335 + 335 + 335) / 3 = 1005 / 3 ≈ 335
This solution is correct!
Solution 3:
950, 40, 15
Verification:
(950 + 40 + 15) / 3 = 1005 / 3 ≈ 335
This solution is correct!
Solution 4:
421, 211, 373
Verification:
(421 + 211 + 373) / 3 = 1005 / 3 ≈ 335
This solution is correct!
Solution 5:
435, 361, 209
Verification:
(435 + 361 + 209) / 3 = 1005 / 3 ≈ 335
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 1005 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.