What three numbers have an average of 979?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 979. This means if we add these three numbers together and divide by 3, we should get 979.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 979 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 979 * 3 = x + y + z
- So, the sum of our three numbers should be: 2937
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2937.
Solution 1:
979, 979, 979
Verification:
(979 + 979 + 979) / 3 = 2937 / 3 ≈ 979
This solution is correct!
Solution 2:
979, 979, 979
Verification:
(979 + 979 + 979) / 3 = 2937 / 3 ≈ 979
This solution is correct!
Solution 3:
393, 2522, 22
Verification:
(393 + 2522 + 22) / 3 = 2937 / 3 ≈ 979
This solution is correct!
Solution 4:
920, 759, 1258
Verification:
(920 + 759 + 1258) / 3 = 2937 / 3 ≈ 979
This solution is correct!
Solution 5:
733, 1487, 717
Verification:
(733 + 1487 + 717) / 3 = 2937 / 3 ≈ 979
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 2937 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.