What three numbers have an average of 266?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 266. This means if we add these three numbers together and divide by 3, we should get 266.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 266 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 266 * 3 = x + y + z
- So, the sum of our three numbers should be: 798
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 798.
Solution 1:
266, 266, 266
Verification:
(266 + 266 + 266) / 3 = 798 / 3 ≈ 266
This solution is correct!
Solution 2:
266, 266, 266
Verification:
(266 + 266 + 266) / 3 = 798 / 3 ≈ 266
This solution is correct!
Solution 3:
752, 43, 3
Verification:
(752 + 43 + 3) / 3 = 798 / 3 ≈ 266
This solution is correct!
Solution 4:
556, 183, 59
Verification:
(556 + 183 + 59) / 3 = 798 / 3 ≈ 266
This solution is correct!
Solution 5:
719, 68, 11
Verification:
(719 + 68 + 11) / 3 = 798 / 3 ≈ 266
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 798 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.