Question 351532: Adam says bob lies
bob says charlie lies
charlie says Adam and bob both lie
a) if Adam telling the truth, then bob is lying. what can you conclude about char lie's statement ?
b) assume Adam is telling the truth .explain how this leads to a contradiction
c) who is telling the truth ? who is lying ?
Answer by Jk22(389)   (Show Source):
You can put this solution on YOUR website! 1) Adam says Bob lies
2) Bob says Charlie lies
3) Charlie says Adam and Bob both lie
a) suppose Adam tells the truth, then Bob lies,
if Bob lies, then (2) Charlie tells the truth
b) if Adam tells the truth, from (a) we got Charlie tells the truth,
then from (3) Adam should lie which contradict the hypothesis
c) if Adam tells the truth, we got a contradiction, hence Adam lies
if Adam lies then Bob tells the truth,
if Bob tells the truth, then Charlie lies,
if Charlie lies then either Adam or Bob should tell the truth
this is not contradicting, since Adam lies, but Bob tells the truth,
hence Adam lies, Bob tells the truth and Charlie lies.
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