What three numbers have an average of 799?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 799. This means if we add these three numbers together and divide by 3, we should get 799.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 799 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 799 * 3 = x + y + z
- So, the sum of our three numbers should be: 2397
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2397.
Solution 1:
799, 799, 799
Verification:
(799 + 799 + 799) / 3 = 2397 / 3 ≈ 799
This solution is correct!
Solution 2:
799, 799, 799
Verification:
(799 + 799 + 799) / 3 = 2397 / 3 ≈ 799
This solution is correct!
Solution 3:
321, 1001, 1075
Verification:
(321 + 1001 + 1075) / 3 = 2397 / 3 ≈ 799
This solution is correct!
Solution 4:
1985, 50, 362
Verification:
(1985 + 50 + 362) / 3 = 2397 / 3 ≈ 799
This solution is correct!
Solution 5:
2093, 61, 243
Verification:
(2093 + 61 + 243) / 3 = 2397 / 3 ≈ 799
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 2397 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.