What three numbers have an average of 818?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 818. This means if we add these three numbers together and divide by 3, we should get 818.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 818 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 818 * 3 = x + y + z
- So, the sum of our three numbers should be: 2454
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2454.
Solution 1:
818, 818, 818
Verification:
(818 + 818 + 818) / 3 = 2454 / 3 ≈ 818
This solution is correct!
Solution 2:
818, 818, 818
Verification:
(818 + 818 + 818) / 3 = 2454 / 3 ≈ 818
This solution is correct!
Solution 3:
1978, 395, 81
Verification:
(1978 + 395 + 81) / 3 = 2454 / 3 ≈ 818
This solution is correct!
Solution 4:
983, 1138, 333
Verification:
(983 + 1138 + 333) / 3 = 2454 / 3 ≈ 818
This solution is correct!
Solution 5:
245, 838, 1371
Verification:
(245 + 838 + 1371) / 3 = 2454 / 3 ≈ 818
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 2454 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.