What three numbers have an average of 792?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 792. This means if we add these three numbers together and divide by 3, we should get 792.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 792 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 792 * 3 = x + y + z
- So, the sum of our three numbers should be: 2376
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2376.
Solution 1:
792, 792, 792
Verification:
(792 + 792 + 792) / 3 = 2376 / 3 ≈ 792
This solution is correct!
Solution 2:
792, 792, 792
Verification:
(792 + 792 + 792) / 3 = 2376 / 3 ≈ 792
This solution is correct!
Solution 3:
615, 275, 1486
Verification:
(615 + 275 + 1486) / 3 = 2376 / 3 ≈ 792
This solution is correct!
Solution 4:
1573, 38, 765
Verification:
(1573 + 38 + 765) / 3 = 2376 / 3 ≈ 792
This solution is correct!
Solution 5:
1746, 323, 307
Verification:
(1746 + 323 + 307) / 3 = 2376 / 3 ≈ 792
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 2376 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.