What three numbers have an average of 988?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 988. This means if we add these three numbers together and divide by 3, we should get 988.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 988 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 988 * 3 = x + y + z
- So, the sum of our three numbers should be: 2964
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2964.
Solution 1:
988, 988, 988
Verification:
(988 + 988 + 988) / 3 = 2964 / 3 ≈ 988
This solution is correct!
Solution 2:
988, 988, 988
Verification:
(988 + 988 + 988) / 3 = 2964 / 3 ≈ 988
This solution is correct!
Solution 3:
1670, 726, 568
Verification:
(1670 + 726 + 568) / 3 = 2964 / 3 ≈ 988
This solution is correct!
Solution 4:
2506, 244, 214
Verification:
(2506 + 244 + 214) / 3 = 2964 / 3 ≈ 988
This solution is correct!
Solution 5:
683, 2077, 204
Verification:
(683 + 2077 + 204) / 3 = 2964 / 3 ≈ 988
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 2964 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.