What three numbers have an average of 937?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 937. This means if we add these three numbers together and divide by 3, we should get 937.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 937 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 937 * 3 = x + y + z
- So, the sum of our three numbers should be: 2811
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2811.
Solution 1:
937, 937, 937
Verification:
(937 + 937 + 937) / 3 = 2811 / 3 ≈ 937
This solution is correct!
Solution 2:
937, 937, 937
Verification:
(937 + 937 + 937) / 3 = 2811 / 3 ≈ 937
This solution is correct!
Solution 3:
2600, 48, 163
Verification:
(2600 + 48 + 163) / 3 = 2811 / 3 ≈ 937
This solution is correct!
Solution 4:
735, 1596, 480
Verification:
(735 + 1596 + 480) / 3 = 2811 / 3 ≈ 937
This solution is correct!
Solution 5:
2723, 38, 50
Verification:
(2723 + 38 + 50) / 3 = 2811 / 3 ≈ 937
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 2811 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.