What three numbers have an average of 925?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 925. This means if we add these three numbers together and divide by 3, we should get 925.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 925 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 925 * 3 = x + y + z
- So, the sum of our three numbers should be: 2775
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2775.
Solution 1:
925, 925, 925
Verification:
(925 + 925 + 925) / 3 = 2775 / 3 ≈ 925
This solution is correct!
Solution 2:
925, 925, 925
Verification:
(925 + 925 + 925) / 3 = 2775 / 3 ≈ 925
This solution is correct!
Solution 3:
1760, 34, 981
Verification:
(1760 + 34 + 981) / 3 = 2775 / 3 ≈ 925
This solution is correct!
Solution 4:
1672, 1066, 37
Verification:
(1672 + 1066 + 37) / 3 = 2775 / 3 ≈ 925
This solution is correct!
Solution 5:
476, 1821, 478
Verification:
(476 + 1821 + 478) / 3 = 2775 / 3 ≈ 925
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 2775 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.