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 wpuld be the remainder when the difference of 3 digit no and t

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Question 1033058: What would be the remainder when the sum of a 2 digits no. And the no. Obtained its dogits is divided by 11?

what wpuld be the remainder when the difference of 3 digit no and the no obtained by reversing the digit is divided by 99 ?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
What would be the remainder when the sum of a 2 digits no. And the no. Obtained by reversing its digits is divided by 11?
2-digit number:: 10t+u
reverse number:: 10u+t
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(10t+u + 10u+t)/11 = (11t + 11u)/11 = t + u
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what would be the remainder when the difference of 3 digit no and the no obtained by reversing the digit is divided by 99 ?
3-digit number:: 100h + 10t + u
number reversed:: 100u + 10t + h
======
Remainder-- ???
100h+10t+u - (100u+10t+h) = (99h - 99u)/99 = h-u
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Cheers,
Stan H.

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