What three numbers have an average of 288?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 288. This means if we add these three numbers together and divide by 3, we should get 288.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 288 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 288 * 3 = x + y + z
- So, the sum of our three numbers should be: 864
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 864.
Solution 1:
288, 288, 288
Verification:
(288 + 288 + 288) / 3 = 864 / 3 ≈ 288
This solution is correct!
Solution 2:
288, 288, 288
Verification:
(288 + 288 + 288) / 3 = 864 / 3 ≈ 288
This solution is correct!
Solution 3:
639, 115, 110
Verification:
(639 + 115 + 110) / 3 = 864 / 3 ≈ 288
This solution is correct!
Solution 4:
388, 404, 72
Verification:
(388 + 404 + 72) / 3 = 864 / 3 ≈ 288
This solution is correct!
Solution 5:
326, 325, 213
Verification:
(326 + 325 + 213) / 3 = 864 / 3 ≈ 288
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 864 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.