What three numbers have an average of 927?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 927. This means if we add these three numbers together and divide by 3, we should get 927.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 927 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 927 * 3 = x + y + z
- So, the sum of our three numbers should be: 2781
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2781.
Solution 1:
927, 927, 927
Verification:
(927 + 927 + 927) / 3 = 2781 / 3 ≈ 927
This solution is correct!
Solution 2:
927, 927, 927
Verification:
(927 + 927 + 927) / 3 = 2781 / 3 ≈ 927
This solution is correct!
Solution 3:
1669, 670, 442
Verification:
(1669 + 670 + 442) / 3 = 2781 / 3 ≈ 927
This solution is correct!
Solution 4:
988, 1277, 516
Verification:
(988 + 1277 + 516) / 3 = 2781 / 3 ≈ 927
This solution is correct!
Solution 5:
1194, 130, 1457
Verification:
(1194 + 130 + 1457) / 3 = 2781 / 3 ≈ 927
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 2781 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.