What three numbers have an average of 936?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 936. This means if we add these three numbers together and divide by 3, we should get 936.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 936 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 936 * 3 = x + y + z
- So, the sum of our three numbers should be: 2808
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2808.
Solution 1:
936, 936, 936
Verification:
(936 + 936 + 936) / 3 = 2808 / 3 ≈ 936
This solution is correct!
Solution 2:
936, 936, 936
Verification:
(936 + 936 + 936) / 3 = 2808 / 3 ≈ 936
This solution is correct!
Solution 3:
1824, 664, 320
Verification:
(1824 + 664 + 320) / 3 = 2808 / 3 ≈ 936
This solution is correct!
Solution 4:
2590, 69, 149
Verification:
(2590 + 69 + 149) / 3 = 2808 / 3 ≈ 936
This solution is correct!
Solution 5:
1710, 607, 491
Verification:
(1710 + 607 + 491) / 3 = 2808 / 3 ≈ 936
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 2808 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.