What three numbers have an average of 292?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 292. This means if we add these three numbers together and divide by 3, we should get 292.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 292 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 292 * 3 = x + y + z
- So, the sum of our three numbers should be: 876
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 876.
Solution 1:
292, 292, 292
Verification:
(292 + 292 + 292) / 3 = 876 / 3 ≈ 292
This solution is correct!
Solution 2:
292, 292, 292
Verification:
(292 + 292 + 292) / 3 = 876 / 3 ≈ 292
This solution is correct!
Solution 3:
53, 467, 356
Verification:
(53 + 467 + 356) / 3 = 876 / 3 ≈ 292
This solution is correct!
Solution 4:
399, 242, 235
Verification:
(399 + 242 + 235) / 3 = 876 / 3 ≈ 292
This solution is correct!
Solution 5:
695, 73, 108
Verification:
(695 + 73 + 108) / 3 = 876 / 3 ≈ 292
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 876 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.