What three numbers have an average of 244?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 244. This means if we add these three numbers together and divide by 3, we should get 244.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 244 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 244 * 3 = x + y + z
- So, the sum of our three numbers should be: 732
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 732.
Solution 1:
244, 244, 244
Verification:
(244 + 244 + 244) / 3 = 732 / 3 ≈ 244
This solution is correct!
Solution 2:
244, 244, 244
Verification:
(244 + 244 + 244) / 3 = 732 / 3 ≈ 244
This solution is correct!
Solution 3:
545, 34, 153
Verification:
(545 + 34 + 153) / 3 = 732 / 3 ≈ 244
This solution is correct!
Solution 4:
484, 225, 23
Verification:
(484 + 225 + 23) / 3 = 732 / 3 ≈ 244
This solution is correct!
Solution 5:
289, 256, 187
Verification:
(289 + 256 + 187) / 3 = 732 / 3 ≈ 244
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 732 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.