What three numbers have an average of 295?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 295. This means if we add these three numbers together and divide by 3, we should get 295.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 295 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 295 * 3 = x + y + z
- So, the sum of our three numbers should be: 885
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 885.
Solution 1:
295, 295, 295
Verification:
(295 + 295 + 295) / 3 = 885 / 3 ≈ 295
This solution is correct!
Solution 2:
295, 295, 295
Verification:
(295 + 295 + 295) / 3 = 885 / 3 ≈ 295
This solution is correct!
Solution 3:
782, 32, 71
Verification:
(782 + 32 + 71) / 3 = 885 / 3 ≈ 295
This solution is correct!
Solution 4:
472, 277, 136
Verification:
(472 + 277 + 136) / 3 = 885 / 3 ≈ 295
This solution is correct!
Solution 5:
181, 517, 187
Verification:
(181 + 517 + 187) / 3 = 885 / 3 ≈ 295
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 885 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.