What three numbers have an average of 606?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 606. This means if we add these three numbers together and divide by 3, we should get 606.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 606 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 606 * 3 = x + y + z
- So, the sum of our three numbers should be: 1818
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1818.
Solution 1:
606, 606, 606
Verification:
(606 + 606 + 606) / 3 = 1818 / 3 ≈ 606
This solution is correct!
Solution 2:
606, 606, 606
Verification:
(606 + 606 + 606) / 3 = 1818 / 3 ≈ 606
This solution is correct!
Solution 3:
293, 76, 1449
Verification:
(293 + 76 + 1449) / 3 = 1818 / 3 ≈ 606
This solution is correct!
Solution 4:
1551, 12, 255
Verification:
(1551 + 12 + 255) / 3 = 1818 / 3 ≈ 606
This solution is correct!
Solution 5:
581, 477, 760
Verification:
(581 + 477 + 760) / 3 = 1818 / 3 ≈ 606
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 1818 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.