What three numbers have an average of 556?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 556. This means if we add these three numbers together and divide by 3, we should get 556.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 556 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 556 * 3 = x + y + z
- So, the sum of our three numbers should be: 1668
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1668.
Solution 1:
556, 556, 556
Verification:
(556 + 556 + 556) / 3 = 1668 / 3 ≈ 556
This solution is correct!
Solution 2:
556, 556, 556
Verification:
(556 + 556 + 556) / 3 = 1668 / 3 ≈ 556
This solution is correct!
Solution 3:
1393, 101, 174
Verification:
(1393 + 101 + 174) / 3 = 1668 / 3 ≈ 556
This solution is correct!
Solution 4:
855, 750, 63
Verification:
(855 + 750 + 63) / 3 = 1668 / 3 ≈ 556
This solution is correct!
Solution 5:
1009, 413, 246
Verification:
(1009 + 413 + 246) / 3 = 1668 / 3 ≈ 556
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 1668 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.