document.write( "Question 572523: . The Turner triplets have an annoying habit. Whenever a question is asked of them, two tell the truth and the other one lies. When asked which of them was born first, Werner said, \"Virna was born first.\" Then Virna said, \"I am not the oldest.\" Myrna replied,\"Werner is oldest.\" Which of the triplets was born frst. how to determine the liar? \n" ); document.write( "
Algebra.Com's Answer #368433 by Theo(13342)![]() ![]() You can put this solution on YOUR website! let the triplets be W, V, and M. \n" ); document.write( "W is Werner \n" ); document.write( "V is Verna \n" ); document.write( "M is Myrna\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "case 1 \n" ); document.write( "assume W is lying. \n" ); document.write( "this means that V and M tell the truth. \n" ); document.write( "W says it's V. \n" ); document.write( "V says it's not me. \n" ); document.write( "M says it's W. \n" ); document.write( "V and M both tell the truth and do not contradict each other.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "case 2 \n" ); document.write( "assume V is lying. \n" ); document.write( "this means that W and M tell the truth. \n" ); document.write( "W says it's V. \n" ); document.write( "V says it's not me. \n" ); document.write( "M says it's W. \n" ); document.write( "W and M tell the truth but they contradict each other.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "case 3 \n" ); document.write( "assume M is lying. \n" ); document.write( "this means that W and V tell the truth. \n" ); document.write( "W says it's V. \n" ); document.write( "V says it's not me. \n" ); document.write( "M says it's W. \n" ); document.write( "W and V both tell the truth but they contradict each other.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "case 1 is the only case that is possible since 2 people telling the truth cannot contradict each other. \n" ); document.write( "therefore: \n" ); document.write( "W is lying. \n" ); document.write( "W is the oldest.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |