What three numbers have an average of 185?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 185. This means if we add these three numbers together and divide by 3, we should get 185.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 185 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 185 * 3 = x + y + z
- So, the sum of our three numbers should be: 555
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 555.
Solution 1:
185, 185, 185
Verification:
(185 + 185 + 185) / 3 = 555 / 3 ≈ 185
This solution is correct!
Solution 2:
185, 185, 185
Verification:
(185 + 185 + 185) / 3 = 555 / 3 ≈ 185
This solution is correct!
Solution 3:
68, 254, 233
Verification:
(68 + 254 + 233) / 3 = 555 / 3 ≈ 185
This solution is correct!
Solution 4:
391, 38, 126
Verification:
(391 + 38 + 126) / 3 = 555 / 3 ≈ 185
This solution is correct!
Solution 5:
450, 45, 60
Verification:
(450 + 45 + 60) / 3 = 555 / 3 ≈ 185
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 555 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.