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:
1940, 300, 547
Verification:
(1940 + 300 + 547) / 3 = 2787 / 3 ≈ 929
This solution is correct!
Solution 4:
2098, 6, 683
Verification:
(2098 + 6 + 683) / 3 = 2787 / 3 ≈ 929
This solution is correct!
Solution 5:
452, 1527, 808
Verification:
(452 + 1527 + 808) / 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.