What three numbers have an average of 425?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 425. This means if we add these three numbers together and divide by 3, we should get 425.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 425 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 425 * 3 = x + y + z
- So, the sum of our three numbers should be: 1275
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1275.
Solution 1:
425, 425, 425
Verification:
(425 + 425 + 425) / 3 = 1275 / 3 ≈ 425
This solution is correct!
Solution 2:
425, 425, 425
Verification:
(425 + 425 + 425) / 3 = 1275 / 3 ≈ 425
This solution is correct!
Solution 3:
908, 41, 326
Verification:
(908 + 41 + 326) / 3 = 1275 / 3 ≈ 425
This solution is correct!
Solution 4:
715, 244, 316
Verification:
(715 + 244 + 316) / 3 = 1275 / 3 ≈ 425
This solution is correct!
Solution 5:
9, 797, 469
Verification:
(9 + 797 + 469) / 3 = 1275 / 3 ≈ 425
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 1275 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.