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

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> 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      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



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) About Me  (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
==========
(10t+u + 10u+t)/11 = (11t + 11u)/11 = t + u
-------
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
-------------------
Cheers,
Stan H.