What three numbers have an average of 368?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 368. This means if we add these three numbers together and divide by 3, we should get 368.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 368 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 368 * 3 = x + y + z
- So, the sum of our three numbers should be: 1104
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1104.
Solution 1:
368, 368, 368
Verification:
(368 + 368 + 368) / 3 = 1104 / 3 ≈ 368
This solution is correct!
Solution 2:
368, 368, 368
Verification:
(368 + 368 + 368) / 3 = 1104 / 3 ≈ 368
This solution is correct!
Solution 3:
18, 247, 839
Verification:
(18 + 247 + 839) / 3 = 1104 / 3 ≈ 368
This solution is correct!
Solution 4:
415, 649, 40
Verification:
(415 + 649 + 40) / 3 = 1104 / 3 ≈ 368
This solution is correct!
Solution 5:
350, 145, 609
Verification:
(350 + 145 + 609) / 3 = 1104 / 3 ≈ 368
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 1104 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.