What three numbers have an average of 929?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 929. This means if we add these three numbers together and divide by 3, we should get 929.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 929 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 929 * 3 = x + y + z
- So, the sum of our three numbers should be: 2787
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2787.
Solution 1:
929, 929, 929
Verification:
(929 + 929 + 929) / 3 = 2787 / 3 ≈ 929
This solution is correct!
Solution 2:
929, 929, 929
Verification:
(929 + 929 + 929) / 3 = 2787 / 3 ≈ 929
This solution is correct!
Solution 3:
2027, 647, 113
Verification:
(2027 + 647 + 113) / 3 = 2787 / 3 ≈ 929
This solution is correct!
Solution 4:
2121, 470, 196
Verification:
(2121 + 470 + 196) / 3 = 2787 / 3 ≈ 929
This solution is correct!
Solution 5:
746, 1969, 72
Verification:
(746 + 1969 + 72) / 3 = 2787 / 3 ≈ 929
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 2787 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.