What three numbers have an average of 808?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 808. This means if we add these three numbers together and divide by 3, we should get 808.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 808 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 808 * 3 = x + y + z
- So, the sum of our three numbers should be: 2424
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2424.
Solution 1:
808, 808, 808
Verification:
(808 + 808 + 808) / 3 = 2424 / 3 ≈ 808
This solution is correct!
Solution 2:
808, 808, 808
Verification:
(808 + 808 + 808) / 3 = 2424 / 3 ≈ 808
This solution is correct!
Solution 3:
2107, 160, 157
Verification:
(2107 + 160 + 157) / 3 = 2424 / 3 ≈ 808
This solution is correct!
Solution 4:
2374, 42, 8
Verification:
(2374 + 42 + 8) / 3 = 2424 / 3 ≈ 808
This solution is correct!
Solution 5:
767, 1559, 98
Verification:
(767 + 1559 + 98) / 3 = 2424 / 3 ≈ 808
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 2424 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.