document.write( "Question 487775: A lies on mon, tues, wed and speak truths on other days, B lies on Thurs, Fri, Sat and speaks truths on other days. One day a said I lied today and B said I too lied today. What is the day? \n" ); document.write( "
Algebra.Com's Answer #333123 by josmiceli(19441)![]() ![]() You can put this solution on YOUR website! A and B both agree \n" ); document.write( "If I was telling the truth, then both \n" ); document.write( "A and B were lying. \n" ); document.write( "--------------- \n" ); document.write( "But there is no day that both \n" ); document.write( "A and B are lying, since: \n" ); document.write( "A is lying on \n" ); document.write( "Mon, Tues, Wed \n" ); document.write( "B is lying on \n" ); document.write( "Thurs, Fri, Sat \n" ); document.write( "------------- \n" ); document.write( "Therefore, I must have been lying \n" ); document.write( "and both A and B were telling the truth \n" ); document.write( "------------- \n" ); document.write( "There is only 1 day when both A and B \n" ); document.write( "are telling the truth, so today \n" ); document.write( "must be Sunday \n" ); document.write( " |