What three numbers have an average of 28?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 28. This means if we add these three numbers together and divide by 3, we should get 28.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 28 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 28 * 3 = x + y + z
- So, the sum of our three numbers should be: 84
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 84.
Solution 1:
28, 28, 28
Verification:
(28 + 28 + 28) / 3 = 84 / 3 ≈ 28
This solution is correct!
Solution 2:
28, 28, 28
Verification:
(28 + 28 + 28) / 3 = 84 / 3 ≈ 28
This solution is correct!
Solution 3:
13, 18, 53
Verification:
(13 + 18 + 53) / 3 = 84 / 3 ≈ 28
This solution is correct!
Solution 4:
47, 3, 34
Verification:
(47 + 3 + 34) / 3 = 84 / 3 ≈ 28
This solution is correct!
Solution 5:
1, 56, 27
Verification:
(1 + 56 + 27) / 3 = 84 / 3 ≈ 28
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 84 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.