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:
510, 678, 1599
Verification:
(510 + 678 + 1599) / 3 = 2787 / 3 ≈ 929
This solution is correct!
Solution 4:
832, 1302, 653
Verification:
(832 + 1302 + 653) / 3 = 2787 / 3 ≈ 929
This solution is correct!
Solution 5:
1913, 487, 387
Verification:
(1913 + 487 + 387) / 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.