SOLUTION: What would be the remainder when the sum of a 2 digits no. And the no. Obtained its dogits is divided by 11? What would be the remainder when the difference of a 3 digit number

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Question 1033057: What would be the remainder when the sum of a 2 digits no. And the no. Obtained its dogits is divided by 11?

What would be the remainder when the difference of a 3 digit number and the number obtained by reversing the digits is divided by 99?

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


You only get to ask one question per post, and since your first question is nonsense, I'll do the second one. If you are having trouble with English, get someone to help you.

Let represent the 100s digit of the 3-digit number, represent the 10s digit, and represent the 1s digit. Then is a representation of the original number. The number obtained when the digits are reversed is then . And their difference is:



Which is evenly divisible by 99, hence the remainder is zero.

John

My calculator said it, I believe it, that settles it