What three numbers have an average of 293?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 293. This means if we add these three numbers together and divide by 3, we should get 293.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 293 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 293 * 3 = x + y + z
- So, the sum of our three numbers should be: 879
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 879.
Solution 1:
293, 293, 293
Verification:
(293 + 293 + 293) / 3 = 879 / 3 ≈ 293
This solution is correct!
Solution 2:
293, 293, 293
Verification:
(293 + 293 + 293) / 3 = 879 / 3 ≈ 293
This solution is correct!
Solution 3:
363, 51, 465
Verification:
(363 + 51 + 465) / 3 = 879 / 3 ≈ 293
This solution is correct!
Solution 4:
774, 101, 4
Verification:
(774 + 101 + 4) / 3 = 879 / 3 ≈ 293
This solution is correct!
Solution 5:
580, 192, 107
Verification:
(580 + 192 + 107) / 3 = 879 / 3 ≈ 293
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 879 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.