What three numbers have an average of 912?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 912. This means if we add these three numbers together and divide by 3, we should get 912.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 912 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 912 * 3 = x + y + z
- So, the sum of our three numbers should be: 2736
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2736.
Solution 1:
912, 912, 912
Verification:
(912 + 912 + 912) / 3 = 2736 / 3 ≈ 912
This solution is correct!
Solution 2:
912, 912, 912
Verification:
(912 + 912 + 912) / 3 = 2736 / 3 ≈ 912
This solution is correct!
Solution 3:
302, 1987, 447
Verification:
(302 + 1987 + 447) / 3 = 2736 / 3 ≈ 912
This solution is correct!
Solution 4:
2624, 43, 69
Verification:
(2624 + 43 + 69) / 3 = 2736 / 3 ≈ 912
This solution is correct!
Solution 5:
1011, 780, 945
Verification:
(1011 + 780 + 945) / 3 = 2736 / 3 ≈ 912
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 2736 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.