What three numbers have an average of 94?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 94. This means if we add these three numbers together and divide by 3, we should get 94.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 94 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 94 * 3 = x + y + z
- So, the sum of our three numbers should be: 282
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 282.
Solution 1:
94, 94, 94
Verification:
(94 + 94 + 94) / 3 = 282 / 3 ≈ 94
This solution is correct!
Solution 2:
94, 94, 94
Verification:
(94 + 94 + 94) / 3 = 282 / 3 ≈ 94
This solution is correct!
Solution 3:
237, 3, 42
Verification:
(237 + 3 + 42) / 3 = 282 / 3 ≈ 94
This solution is correct!
Solution 4:
135, 96, 51
Verification:
(135 + 96 + 51) / 3 = 282 / 3 ≈ 94
This solution is correct!
Solution 5:
155, 5, 122
Verification:
(155 + 5 + 122) / 3 = 282 / 3 ≈ 94
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 282 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.