What three numbers have an average of 151?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 151. This means if we add these three numbers together and divide by 3, we should get 151.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 151 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 151 * 3 = x + y + z
- So, the sum of our three numbers should be: 453
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 453.
Solution 1:
151, 151, 151
Verification:
(151 + 151 + 151) / 3 = 453 / 3 ≈ 151
This solution is correct!
Solution 2:
151, 151, 151
Verification:
(151 + 151 + 151) / 3 = 453 / 3 ≈ 151
This solution is correct!
Solution 3:
359, 63, 31
Verification:
(359 + 63 + 31) / 3 = 453 / 3 ≈ 151
This solution is correct!
Solution 4:
13, 85, 355
Verification:
(13 + 85 + 355) / 3 = 453 / 3 ≈ 151
This solution is correct!
Solution 5:
60, 12, 381
Verification:
(60 + 12 + 381) / 3 = 453 / 3 ≈ 151
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 453 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.