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:
8, 1525, 135
Verification:
(8 + 1525 + 135) / 3 = 1668 / 3 ≈ 556
This solution is correct!
Solution 4:
828, 27, 813
Verification:
(828 + 27 + 813) / 3 = 1668 / 3 ≈ 556
This solution is correct!
Solution 5:
516, 193, 959
Verification:
(516 + 193 + 959) / 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.