What three numbers have an average of 924?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 924. This means if we add these three numbers together and divide by 3, we should get 924.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 924 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 924 * 3 = x + y + z
- So, the sum of our three numbers should be: 2772
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2772.
Solution 1:
924, 924, 924
Verification:
(924 + 924 + 924) / 3 = 2772 / 3 ≈ 924
This solution is correct!
Solution 2:
924, 924, 924
Verification:
(924 + 924 + 924) / 3 = 2772 / 3 ≈ 924
This solution is correct!
Solution 3:
1599, 261, 912
Verification:
(1599 + 261 + 912) / 3 = 2772 / 3 ≈ 924
This solution is correct!
Solution 4:
2443, 156, 173
Verification:
(2443 + 156 + 173) / 3 = 2772 / 3 ≈ 924
This solution is correct!
Solution 5:
600, 1598, 574
Verification:
(600 + 1598 + 574) / 3 = 2772 / 3 ≈ 924
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 2772 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.