What three numbers have an average of 793?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 793. This means if we add these three numbers together and divide by 3, we should get 793.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 793 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 793 * 3 = x + y + z
- So, the sum of our three numbers should be: 2379
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2379.
Solution 1:
793, 793, 793
Verification:
(793 + 793 + 793) / 3 = 2379 / 3 ≈ 793
This solution is correct!
Solution 2:
793, 793, 793
Verification:
(793 + 793 + 793) / 3 = 2379 / 3 ≈ 793
This solution is correct!
Solution 3:
1220, 499, 660
Verification:
(1220 + 499 + 660) / 3 = 2379 / 3 ≈ 793
This solution is correct!
Solution 4:
117, 1736, 526
Verification:
(117 + 1736 + 526) / 3 = 2379 / 3 ≈ 793
This solution is correct!
Solution 5:
2075, 3, 301
Verification:
(2075 + 3 + 301) / 3 = 2379 / 3 ≈ 793
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 2379 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.