What three numbers have an average of 932?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 932. This means if we add these three numbers together and divide by 3, we should get 932.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 932 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 932 * 3 = x + y + z
- So, the sum of our three numbers should be: 2796
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2796.
Solution 1:
932, 932, 932
Verification:
(932 + 932 + 932) / 3 = 2796 / 3 ≈ 932
This solution is correct!
Solution 2:
932, 932, 932
Verification:
(932 + 932 + 932) / 3 = 2796 / 3 ≈ 932
This solution is correct!
Solution 3:
1638, 1153, 5
Verification:
(1638 + 1153 + 5) / 3 = 2796 / 3 ≈ 932
This solution is correct!
Solution 4:
777, 207, 1812
Verification:
(777 + 207 + 1812) / 3 = 2796 / 3 ≈ 932
This solution is correct!
Solution 5:
672, 1408, 716
Verification:
(672 + 1408 + 716) / 3 = 2796 / 3 ≈ 932
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 2796 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.