What three numbers have an average of 934?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 934. This means if we add these three numbers together and divide by 3, we should get 934.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 934 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 934 * 3 = x + y + z
- So, the sum of our three numbers should be: 2802
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2802.
Solution 1:
934, 934, 934
Verification:
(934 + 934 + 934) / 3 = 2802 / 3 ≈ 934
This solution is correct!
Solution 2:
934, 934, 934
Verification:
(934 + 934 + 934) / 3 = 2802 / 3 ≈ 934
This solution is correct!
Solution 3:
2732, 19, 51
Verification:
(2732 + 19 + 51) / 3 = 2802 / 3 ≈ 934
This solution is correct!
Solution 4:
2001, 637, 164
Verification:
(2001 + 637 + 164) / 3 = 2802 / 3 ≈ 934
This solution is correct!
Solution 5:
2040, 435, 327
Verification:
(2040 + 435 + 327) / 3 = 2802 / 3 ≈ 934
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 2802 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.