document.write( "Question 1005635: A number divided by 39 leaves reminder 20 the same number divided by 13 leaves reminder \n" ); document.write( "
Algebra.Com's Answer #621805 by ikleyn(52802)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "A number divided by 39 leaves reminder 20. The same number divided by 13 leaves reminder ___ ? \n" ); document.write( "--------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The first part of the condition, \"A number divided by 39 leaves reminder 20.\" implies that \n" ); document.write( "our number N can be presented in the form\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "N = 39*Q + 20.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now ask yourself, what the remainder will be if to divide 39*Q + 20 by 13?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Clearly, the remainder will be the same as if you divide 20 by 13, i.e. 7. \r \n" ); document.write( "\n" ); document.write( "Because 39 is multiple of 13.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer. The same number divided by 13 leaves reminder 7.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |