document.write( "Question 1126216: Brianna, Ryan, Tyler, and Ashley were recently elected as the new class officer (president, VP, Secretary, Treasurer). From the Following clues, determine which position each holds.
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document.write( "A. Ashley is younger than the president but older than the treasurer.
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document.write( "B. Brianna and the secretary are both same age, and they are the youngest member of the group.
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document.write( "C. Tyler and the secretary are next-door neighbors. \n" );
document.write( "
Algebra.Com's Answer #742538 by ikleyn(52786)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Brianna, Ryan, Tyler, and Ashley were recently elected as the new class officer (president, VP, Secretary, Treasurer). \n" ); document.write( "From the Following clues, determine which position each holds.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A. Ashley is younger than the president but older than the treasurer. \n" ); document.write( "B. Brianna and the secretary are both same age, and they are the youngest member of the group. \n" ); document.write( "C. Tyler and the secretary are next-door neighbors. \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1. First portion of logical arguments\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " From A), Ashley is not the president and is not the treasurer.\r\n" ); document.write( "\r\n" ); document.write( " From A), Ashley is not the youngest of the group;\r\n" ); document.write( "\r\n" ); document.write( " hence, from B), Ashley is not the secretary.\r\n" ); document.write( "\r\n" ); document.write( " Thus the only one last opportunity for Ashley is to be the VP.\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2. Second portion of logical arguments\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " From #1, Ashley is not the secretary (he/she is just the VP !);\r\n" ); document.write( "\r\n" ); document.write( " From C), Tyler is not the secretary;\r\n" ); document.write( "\r\n" ); document.write( " From B), Brianna is not the secretary.\r\n" ); document.write( "\r\n" ); document.write( " It leaves only one (last) opportunity for the secretary: Ryan is the secretary.\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3. Third portion of logical arguments\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " From #2, Ryan is not the president (he is just the secretary !);\r\n" ); document.write( "\r\n" ); document.write( " From #1, Ashley is not the president (he/she is just the VP !);\r\n" ); document.write( "\r\n" ); document.write( " From A), Brianna is not the president (since she is too young !);\r\n" ); document.write( "\r\n" ); document.write( " \r\n" ); document.write( " It leaves only one (last) opportunity for the president: Tyler is the president.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "4. The last portion of logical arguments\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " Brianna is the treasurer (last vacancy !).\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "****************\r \n" ); document.write( "\n" ); document.write( " * * * Solved * * * \r \n" ); document.write( "\n" ); document.write( "****************\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "One small secret about solving similar logical problems - as a conclusion.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " It is useful to make a matrix of situations.\r\n" ); document.write( "\r\n" ); document.write( " In this problem this matrix looks like this:\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " President VP Secretary Treasurer\r\n" ); document.write( " \r\n" ); document.write( " B\r\n" ); document.write( "\r\n" ); document.write( " R\r\n" ); document.write( "\r\n" ); document.write( " T\r\n" ); document.write( "\r\n" ); document.write( " A\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Vertical input column (the most left) are the names of participants;\r\n" ); document.write( "\r\n" ); document.write( "The most upper horizontal input line contains the names of positions.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then you fill the cells of the matrix by the signs \" + \" or \" - \" according to your logical conclusions.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It helps you to document the process of your thinking when you solve the problem step by step.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It even helps you sometime to find your next step and/or to find the next set of logical arguments.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "From the other side, such a matrix only HEPLS you; but it is not an engine.\r\n" ); document.write( "\r\n" ); document.write( "The engine is your mind / (your brain).\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |