What three numbers have an average of 548?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 548. This means if we add these three numbers together and divide by 3, we should get 548.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 548 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 548 * 3 = x + y + z
- So, the sum of our three numbers should be: 1644
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1644.
Solution 1:
548, 548, 548
Verification:
(548 + 548 + 548) / 3 = 1644 / 3 ≈ 548
This solution is correct!
Solution 2:
548, 548, 548
Verification:
(548 + 548 + 548) / 3 = 1644 / 3 ≈ 548
This solution is correct!
Solution 3:
592, 542, 510
Verification:
(592 + 542 + 510) / 3 = 1644 / 3 ≈ 548
This solution is correct!
Solution 4:
748, 846, 50
Verification:
(748 + 846 + 50) / 3 = 1644 / 3 ≈ 548
This solution is correct!
Solution 5:
831, 127, 686
Verification:
(831 + 127 + 686) / 3 = 1644 / 3 ≈ 548
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 1644 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.