What three numbers have an average of 248?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 248. This means if we add these three numbers together and divide by 3, we should get 248.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 248 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 248 * 3 = x + y + z
- So, the sum of our three numbers should be: 744
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 744.
Solution 1:
248, 248, 248
Verification:
(248 + 248 + 248) / 3 = 744 / 3 ≈ 248
This solution is correct!
Solution 2:
248, 248, 248
Verification:
(248 + 248 + 248) / 3 = 744 / 3 ≈ 248
This solution is correct!
Solution 3:
459, 163, 122
Verification:
(459 + 163 + 122) / 3 = 744 / 3 ≈ 248
This solution is correct!
Solution 4:
44, 398, 302
Verification:
(44 + 398 + 302) / 3 = 744 / 3 ≈ 248
This solution is correct!
Solution 5:
200, 485, 59
Verification:
(200 + 485 + 59) / 3 = 744 / 3 ≈ 248
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 744 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.