What three numbers have an average of 325?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 325. This means if we add these three numbers together and divide by 3, we should get 325.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 325 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 325 * 3 = x + y + z
- So, the sum of our three numbers should be: 975
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 975.
Solution 1:
325, 325, 325
Verification:
(325 + 325 + 325) / 3 = 975 / 3 ≈ 325
This solution is correct!
Solution 2:
325, 325, 325
Verification:
(325 + 325 + 325) / 3 = 975 / 3 ≈ 325
This solution is correct!
Solution 3:
381, 593, 1
Verification:
(381 + 593 + 1) / 3 = 975 / 3 ≈ 325
This solution is correct!
Solution 4:
663, 131, 181
Verification:
(663 + 131 + 181) / 3 = 975 / 3 ≈ 325
This solution is correct!
Solution 5:
715, 182, 78
Verification:
(715 + 182 + 78) / 3 = 975 / 3 ≈ 325
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 975 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.