A 5 digit number is written on a white board. Ron erases one of its digits and adds a newly constructed number to the original one. The results is 41751. What is the original number?

- My problem is that wouldn't there be more than one possibility? Can you please tell me how to do this problem

From the limited information you have given, there are definitely more than one possibility. Sorry that I cannot help.

lol

ur doing gauss! =]

To solve this problem, we need to use deductive reasoning to find the original number.

Let's assume the original 5-digit number is ABCDE, where A, B, C, D, and E represent the digits. Ron erases one of these digits, leaving a gap in the number. We don't know which digit he erased, so we'll consider all possible scenarios.

Scenario 1: Erased Digit is A
In this case, the new number constructed by Ron would have A in the units place, and the remaining digits (BCDE) would remain unchanged. So, the new number would be BCDEA.
We are given that the new number is 41751, so in this scenario, A must be equal to 1. Since the units digit is 1, the erased digit must have been 4.
The original number in this scenario is 41751 + 40000, which equals 81751.

Scenario 2: Erased Digit is B
Following the same reasoning as in Scenario 1, we obtain the original number: 41751 + 10000 = 51751.

Scenario 3: Erased Digit is C
Using the same logic, we find the original number: 41751 + 1000 = 42751.

Scenario 4: Erased Digit is D
Again, applying the same thought process, we determine the original number: 41751 + 100 = 41851.

Scenario 5: Erased Digit is E
Applying the same reasoning, we get the original number: 41751 + 10 = 41761.

As we can see, each scenario gives us a different original number. Therefore, there is more than one possibility for the original number in this problem.

In conclusion, based on the given information, there are multiple potential original numbers: 81751, 51751, 42751, 41851, and 41761.