What three numbers have an average of 926?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 926. This means if we add these three numbers together and divide by 3, we should get 926.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 926 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 926 * 3 = x + y + z
- So, the sum of our three numbers should be: 2778
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2778.
Solution 1:
926, 926, 926
Verification:
(926 + 926 + 926) / 3 = 2778 / 3 ≈ 926
This solution is correct!
Solution 2:
926, 926, 926
Verification:
(926 + 926 + 926) / 3 = 2778 / 3 ≈ 926
This solution is correct!
Solution 3:
91, 316, 2371
Verification:
(91 + 316 + 2371) / 3 = 2778 / 3 ≈ 926
This solution is correct!
Solution 4:
2733, 26, 19
Verification:
(2733 + 26 + 19) / 3 = 2778 / 3 ≈ 926
This solution is correct!
Solution 5:
830, 1294, 654
Verification:
(830 + 1294 + 654) / 3 = 2778 / 3 ≈ 926
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 2778 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.