What three numbers have an average of 737?
Part 1: Understanding the Problem
We're looking for three numbers whose average is 737. This means if we add these three numbers together and divide by 3, we should get 737.
Step-by-step Solution:
- Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
- In this case: 737 = (x + y + z) / 3
- To find the sum, multiply both sides by 3: 737 * 3 = x + y + z
- So, the sum of our three numbers should be: 2211
Part 2: Finding Solutions
Now, let's find multiple sets of three numbers that add up to 2211.
Solution 1:
737, 737, 737
Verification:
(737 + 737 + 737) / 3 = 2211 / 3 ≈ 737
This solution is correct!
Solution 2:
737, 737, 737
Verification:
(737 + 737 + 737) / 3 = 2211 / 3 ≈ 737
This solution is correct!
Solution 3:
606, 1145, 460
Verification:
(606 + 1145 + 460) / 3 = 2211 / 3 ≈ 737
This solution is correct!
Solution 4:
1364, 507, 340
Verification:
(1364 + 507 + 340) / 3 = 2211 / 3 ≈ 737
This solution is correct!
Solution 5:
371, 712, 1128
Verification:
(371 + 712 + 1128) / 3 = 2211 / 3 ≈ 737
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 2211 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.