What three numbers have an average of 253?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 253. This means if we add these three numbers together and divide by 3, we should get 253.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 253 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 253 * 3 = x + y + z
- So, the sum of our three numbers should be: 759
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 759.
Solution 1:
253, 253, 253
Verification:
(253 + 253 + 253) / 3 = 759 / 3 ≈ 253
This solution is correct!
Solution 2:
253, 253, 253
Verification:
(253 + 253 + 253) / 3 = 759 / 3 ≈ 253
This solution is correct!
Solution 3:
241, 267, 251
Verification:
(241 + 267 + 251) / 3 = 759 / 3 ≈ 253
This solution is correct!
Solution 4:
528, 111, 120
Verification:
(528 + 111 + 120) / 3 = 759 / 3 ≈ 253
This solution is correct!
Solution 5:
707, 34, 18
Verification:
(707 + 34 + 18) / 3 = 759 / 3 ≈ 253
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 759 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.