What three numbers have an average of 942?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 942. This means if we add these three numbers together and divide by 3, we should get 942.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 942 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 942 * 3 = x + y + z
- So, the sum of our three numbers should be: 2826
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2826.
Solution 1:
942, 942, 942
Verification:
(942 + 942 + 942) / 3 = 2826 / 3 ≈ 942
This solution is correct!
Solution 2:
942, 942, 942
Verification:
(942 + 942 + 942) / 3 = 2826 / 3 ≈ 942
This solution is correct!
Solution 3:
382, 2199, 245
Verification:
(382 + 2199 + 245) / 3 = 2826 / 3 ≈ 942
This solution is correct!
Solution 4:
179, 918, 1729
Verification:
(179 + 918 + 1729) / 3 = 2826 / 3 ≈ 942
This solution is correct!
Solution 5:
395, 1065, 1366
Verification:
(395 + 1065 + 1366) / 3 = 2826 / 3 ≈ 942
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 2826 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.