What three numbers have an average of 636?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 636. This means if we add these three numbers together and divide by 3, we should get 636.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 636 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 636 * 3 = x + y + z
- So, the sum of our three numbers should be: 1908
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 1908.
Solution 1:
636, 636, 636
Verification:
(636 + 636 + 636) / 3 = 1908 / 3 ≈ 636
This solution is correct!
Solution 2:
636, 636, 636
Verification:
(636 + 636 + 636) / 3 = 1908 / 3 ≈ 636
This solution is correct!
Solution 3:
729, 941, 238
Verification:
(729 + 941 + 238) / 3 = 1908 / 3 ≈ 636
This solution is correct!
Solution 4:
1045, 251, 612
Verification:
(1045 + 251 + 612) / 3 = 1908 / 3 ≈ 636
This solution is correct!
Solution 5:
952, 588, 368
Verification:
(952 + 588 + 368) / 3 = 1908 / 3 ≈ 636
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 1908 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.