What three numbers have an average of 355?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 355. This means if we add these three numbers together and divide by 3, we should get 355.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 355 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 355 * 3 = x + y + z
- So, the sum of our three numbers should be: 1065
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1065.
Solution 1:
355, 355, 355
Verification:
(355 + 355 + 355) / 3 = 1065 / 3 ≈ 355
This solution is correct!
Solution 2:
355, 355, 355
Verification:
(355 + 355 + 355) / 3 = 1065 / 3 ≈ 355
This solution is correct!
Solution 3:
657, 286, 122
Verification:
(657 + 286 + 122) / 3 = 1065 / 3 ≈ 355
This solution is correct!
Solution 4:
45, 994, 26
Verification:
(45 + 994 + 26) / 3 = 1065 / 3 ≈ 355
This solution is correct!
Solution 5:
85, 959, 21
Verification:
(85 + 959 + 21) / 3 = 1065 / 3 ≈ 355
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 1065 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.