What three numbers have an average of 296?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 296. This means if we add these three numbers together and divide by 3, we should get 296.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 296 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 296 * 3 = x + y + z
- So, the sum of our three numbers should be: 888
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 888.
Solution 1:
296, 296, 296
Verification:
(296 + 296 + 296) / 3 = 888 / 3 ≈ 296
This solution is correct!
Solution 2:
296, 296, 296
Verification:
(296 + 296 + 296) / 3 = 888 / 3 ≈ 296
This solution is correct!
Solution 3:
85, 403, 400
Verification:
(85 + 403 + 400) / 3 = 888 / 3 ≈ 296
This solution is correct!
Solution 4:
359, 171, 358
Verification:
(359 + 171 + 358) / 3 = 888 / 3 ≈ 296
This solution is correct!
Solution 5:
484, 147, 257
Verification:
(484 + 147 + 257) / 3 = 888 / 3 ≈ 296
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 888 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.