What three numbers have an average of 93?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 93. This means if we add these three numbers together and divide by 3, we should get 93.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 93 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 93 * 3 = x + y + z
- So, the sum of our three numbers should be: 279
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 279.
Solution 1:
93, 93, 93
Verification:
(93 + 93 + 93) / 3 = 279 / 3 ≈ 93
This solution is correct!
Solution 2:
93, 93, 93
Verification:
(93 + 93 + 93) / 3 = 279 / 3 ≈ 93
This solution is correct!
Solution 3:
161, 58, 60
Verification:
(161 + 58 + 60) / 3 = 279 / 3 ≈ 93
This solution is correct!
Solution 4:
192, 68, 19
Verification:
(192 + 68 + 19) / 3 = 279 / 3 ≈ 93
This solution is correct!
Solution 5:
155, 22, 102
Verification:
(155 + 22 + 102) / 3 = 279 / 3 ≈ 93
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 279 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.