What three numbers have an average of 133?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 133. This means if we add these three numbers together and divide by 3, we should get 133.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 133 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 133 * 3 = x + y + z
- So, the sum of our three numbers should be: 399
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 399.
Solution 1:
133, 133, 133
Verification:
(133 + 133 + 133) / 3 = 399 / 3 ≈ 133
This solution is correct!
Solution 2:
133, 133, 133
Verification:
(133 + 133 + 133) / 3 = 399 / 3 ≈ 133
This solution is correct!
Solution 3:
181, 110, 108
Verification:
(181 + 110 + 108) / 3 = 399 / 3 ≈ 133
This solution is correct!
Solution 4:
289, 15, 95
Verification:
(289 + 15 + 95) / 3 = 399 / 3 ≈ 133
This solution is correct!
Solution 5:
183, 56, 160
Verification:
(183 + 56 + 160) / 3 = 399 / 3 ≈ 133
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 399 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.