What three numbers have an average of 184?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 184. This means if we add these three numbers together and divide by 3, we should get 184.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 184 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 184 * 3 = x + y + z
- So, the sum of our three numbers should be: 552
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 552.
Solution 1:
184, 184, 184
Verification:
(184 + 184 + 184) / 3 = 552 / 3 ≈ 184
This solution is correct!
Solution 2:
184, 184, 184
Verification:
(184 + 184 + 184) / 3 = 552 / 3 ≈ 184
This solution is correct!
Solution 3:
116, 289, 147
Verification:
(116 + 289 + 147) / 3 = 552 / 3 ≈ 184
This solution is correct!
Solution 4:
3, 530, 19
Verification:
(3 + 530 + 19) / 3 = 552 / 3 ≈ 184
This solution is correct!
Solution 5:
182, 309, 61
Verification:
(182 + 309 + 61) / 3 = 552 / 3 ≈ 184
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 552 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.