What three numbers have an average of 246?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 246. This means if we add these three numbers together and divide by 3, we should get 246.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 246 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 246 * 3 = x + y + z
- So, the sum of our three numbers should be: 738
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 738.
Solution 1:
246, 246, 246
Verification:
(246 + 246 + 246) / 3 = 738 / 3 ≈ 246
This solution is correct!
Solution 2:
246, 246, 246
Verification:
(246 + 246 + 246) / 3 = 738 / 3 ≈ 246
This solution is correct!
Solution 3:
291, 87, 360
Verification:
(291 + 87 + 360) / 3 = 738 / 3 ≈ 246
This solution is correct!
Solution 4:
267, 323, 148
Verification:
(267 + 323 + 148) / 3 = 738 / 3 ≈ 246
This solution is correct!
Solution 5:
53, 70, 615
Verification:
(53 + 70 + 615) / 3 = 738 / 3 ≈ 246
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 738 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.