What three numbers have an average of 265?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 265. This means if we add these three numbers together and divide by 3, we should get 265.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 265 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 265 * 3 = x + y + z
- So, the sum of our three numbers should be: 795
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 795.
Solution 1:
265, 265, 265
Verification:
(265 + 265 + 265) / 3 = 795 / 3 ≈ 265
This solution is correct!
Solution 2:
265, 265, 265
Verification:
(265 + 265 + 265) / 3 = 795 / 3 ≈ 265
This solution is correct!
Solution 3:
701, 91, 3
Verification:
(701 + 91 + 3) / 3 = 795 / 3 ≈ 265
This solution is correct!
Solution 4:
27, 426, 342
Verification:
(27 + 426 + 342) / 3 = 795 / 3 ≈ 265
This solution is correct!
Solution 5:
552, 8, 235
Verification:
(552 + 8 + 235) / 3 = 795 / 3 ≈ 265
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 795 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.