What three numbers have an average of 251?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 251. This means if we add these three numbers together and divide by 3, we should get 251.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 251 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 251 * 3 = x + y + z
- So, the sum of our three numbers should be: 753
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 753.
Solution 1:
251, 251, 251
Verification:
(251 + 251 + 251) / 3 = 753 / 3 ≈ 251
This solution is correct!
Solution 2:
251, 251, 251
Verification:
(251 + 251 + 251) / 3 = 753 / 3 ≈ 251
This solution is correct!
Solution 3:
663, 57, 33
Verification:
(663 + 57 + 33) / 3 = 753 / 3 ≈ 251
This solution is correct!
Solution 4:
328, 73, 352
Verification:
(328 + 73 + 352) / 3 = 753 / 3 ≈ 251
This solution is correct!
Solution 5:
392, 194, 167
Verification:
(392 + 194 + 167) / 3 = 753 / 3 ≈ 251
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 753 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.