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:
1313, 1344, 280
Verification:
(1313 + 1344 + 280) / 3 = 2937 / 3 ≈ 979
This solution is correct!
Solution 4:
808, 2070, 59
Verification:
(808 + 2070 + 59) / 3 = 2937 / 3 ≈ 979
This solution is correct!
Solution 5:
2279, 591, 67
Verification:
(2279 + 591 + 67) / 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.