What three numbers have an average of 885?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 885. This means if we add these three numbers together and divide by 3, we should get 885.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 885 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 885 * 3 = x + y + z
- So, the sum of our three numbers should be: 2655
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2655.
Solution 1:
885, 885, 885
Verification:
(885 + 885 + 885) / 3 = 2655 / 3 ≈ 885
This solution is correct!
Solution 2:
885, 885, 885
Verification:
(885 + 885 + 885) / 3 = 2655 / 3 ≈ 885
This solution is correct!
Solution 3:
1624, 119, 912
Verification:
(1624 + 119 + 912) / 3 = 2655 / 3 ≈ 885
This solution is correct!
Solution 4:
2229, 28, 398
Verification:
(2229 + 28 + 398) / 3 = 2655 / 3 ≈ 885
This solution is correct!
Solution 5:
762, 1017, 876
Verification:
(762 + 1017 + 876) / 3 = 2655 / 3 ≈ 885
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 2655 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.