What three numbers have an average of 931?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 931. This means if we add these three numbers together and divide by 3, we should get 931.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 931 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 931 * 3 = x + y + z
- So, the sum of our three numbers should be: 2793
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2793.
Solution 1:
931, 931, 931
Verification:
(931 + 931 + 931) / 3 = 2793 / 3 ≈ 931
This solution is correct!
Solution 2:
931, 931, 931
Verification:
(931 + 931 + 931) / 3 = 2793 / 3 ≈ 931
This solution is correct!
Solution 3:
685, 1558, 550
Verification:
(685 + 1558 + 550) / 3 = 2793 / 3 ≈ 931
This solution is correct!
Solution 4:
1217, 943, 633
Verification:
(1217 + 943 + 633) / 3 = 2793 / 3 ≈ 931
This solution is correct!
Solution 5:
819, 765, 1209
Verification:
(819 + 765 + 1209) / 3 = 2793 / 3 ≈ 931
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 2793 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.