What three numbers have an average of 358?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 358. This means if we add these three numbers together and divide by 3, we should get 358.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 358 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 358 * 3 = x + y + z
- So, the sum of our three numbers should be: 1074
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1074.
Solution 1:
358, 358, 358
Verification:
(358 + 358 + 358) / 3 = 1074 / 3 ≈ 358
This solution is correct!
Solution 2:
358, 358, 358
Verification:
(358 + 358 + 358) / 3 = 1074 / 3 ≈ 358
This solution is correct!
Solution 3:
358, 381, 335
Verification:
(358 + 381 + 335) / 3 = 1074 / 3 ≈ 358
This solution is correct!
Solution 4:
813, 207, 54
Verification:
(813 + 207 + 54) / 3 = 1074 / 3 ≈ 358
This solution is correct!
Solution 5:
823, 1, 250
Verification:
(823 + 1 + 250) / 3 = 1074 / 3 ≈ 358
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 1074 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.