What three numbers have an average of 551?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 551. This means if we add these three numbers together and divide by 3, we should get 551.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 551 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 551 * 3 = x + y + z
- So, the sum of our three numbers should be: 1653
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1653.
Solution 1:
551, 551, 551
Verification:
(551 + 551 + 551) / 3 = 1653 / 3 ≈ 551
This solution is correct!
Solution 2:
551, 551, 551
Verification:
(551 + 551 + 551) / 3 = 1653 / 3 ≈ 551
This solution is correct!
Solution 3:
911, 121, 621
Verification:
(911 + 121 + 621) / 3 = 1653 / 3 ≈ 551
This solution is correct!
Solution 4:
456, 20, 1177
Verification:
(456 + 20 + 1177) / 3 = 1653 / 3 ≈ 551
This solution is correct!
Solution 5:
852, 265, 536
Verification:
(852 + 265 + 536) / 3 = 1653 / 3 ≈ 551
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 1653 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.