What three numbers have an average of 318?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 318. This means if we add these three numbers together and divide by 3, we should get 318.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 318 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 318 * 3 = x + y + z
- So, the sum of our three numbers should be: 954
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 954.
Solution 1:
318, 318, 318
Verification:
(318 + 318 + 318) / 3 = 954 / 3 ≈ 318
This solution is correct!
Solution 2:
318, 318, 318
Verification:
(318 + 318 + 318) / 3 = 954 / 3 ≈ 318
This solution is correct!
Solution 3:
176, 105, 673
Verification:
(176 + 105 + 673) / 3 = 954 / 3 ≈ 318
This solution is correct!
Solution 4:
459, 316, 179
Verification:
(459 + 316 + 179) / 3 = 954 / 3 ≈ 318
This solution is correct!
Solution 5:
939, 6, 9
Verification:
(939 + 6 + 9) / 3 = 954 / 3 ≈ 318
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 954 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.