What three numbers have an average of 183?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 183. This means if we add these three numbers together and divide by 3, we should get 183.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 183 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 183 * 3 = x + y + z
- So, the sum of our three numbers should be: 549
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 549.
Solution 1:
183, 183, 183
Verification:
(183 + 183 + 183) / 3 = 549 / 3 ≈ 183
This solution is correct!
Solution 2:
183, 183, 183
Verification:
(183 + 183 + 183) / 3 = 549 / 3 ≈ 183
This solution is correct!
Solution 3:
486, 26, 37
Verification:
(486 + 26 + 37) / 3 = 549 / 3 ≈ 183
This solution is correct!
Solution 4:
33, 469, 47
Verification:
(33 + 469 + 47) / 3 = 549 / 3 ≈ 183
This solution is correct!
Solution 5:
326, 8, 215
Verification:
(326 + 8 + 215) / 3 = 549 / 3 ≈ 183
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 549 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.