What three numbers have an average of 875?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 875. This means if we add these three numbers together and divide by 3, we should get 875.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 875 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 875 * 3 = x + y + z
- So, the sum of our three numbers should be: 2625
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2625.
Solution 1:
875, 875, 875
Verification:
(875 + 875 + 875) / 3 = 2625 / 3 ≈ 875
This solution is correct!
Solution 2:
875, 875, 875
Verification:
(875 + 875 + 875) / 3 = 2625 / 3 ≈ 875
This solution is correct!
Solution 3:
1812, 609, 204
Verification:
(1812 + 609 + 204) / 3 = 2625 / 3 ≈ 875
This solution is correct!
Solution 4:
212, 550, 1863
Verification:
(212 + 550 + 1863) / 3 = 2625 / 3 ≈ 875
This solution is correct!
Solution 5:
1129, 433, 1063
Verification:
(1129 + 433 + 1063) / 3 = 2625 / 3 ≈ 875
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 2625 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.