document.write( "Question 1181761: James, Alex, and Linda were playing inside of their classroom. One of them broke the window. When their teacher asked who broke the window, she got these replies:\r
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\n" ); document.write( "\n" ); document.write( "Linda: James broke the window!
\n" ); document.write( "James: I didn't break it!
\n" ); document.write( "Alex: Neither did I!\r
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\n" ); document.write( "\n" ); document.write( "If two of the children lied, then who broke the window? \n" ); document.write( "

Algebra.Com's Answer #811724 by ikleyn(52787) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "James, Alex, and Linda were playing inside of their classroom. One of them broke the window.
\n" ); document.write( "When their teacher asked who broke the window, she got these replies:\r
\n" ); document.write( "\n" ); document.write( "Linda: James broke the window!
\n" ); document.write( "James: I didn't break it!
\n" ); document.write( "Alex: Neither did I!\r
\n" ); document.write( "\n" ); document.write( "If two of the children lied, then who broke the window?
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\n" ); document.write( "\n" ); document.write( " I will construct my solution by another way.\r
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document.write( "(1)  Let's assume Linda broke the window.\r\n" );
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document.write( "     Then James and Alex are truthful, which contradicts to the condition; hence, this assumption is wrong.\r\n" );
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document.write( "(2)  Let's assume that James broke the window.\r\n" );
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document.write( "     Then Linda and Alex are truthful, which contradicts to the condition, again;  hence, this assumption is wrong.\r\n" );
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document.write( "(3)  So, if the problem is built in logically correct way, then the only possible version is that Alex broke the window.\r\n" );
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document.write( "(4)  Nevertheless, we should check, if the problem is REALLY built in logically correct way.\r\n" );
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document.write( "     So, let's assume that Alex broke the window.\r\n" );
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document.write( "     Then Linda and Alex are the two liars and James is truthful, which is consistent with the condition.\r\n" );
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document.write( "The problem is just solved, and the ANSWER is:  Alex broke the window.\r\n" );
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\n" ); document.write( "\n" ); document.write( "The post-solution notice.\r
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document.write( "    I'd like to explain why I wrote this solution, just N 4 in the list.\r\n" );
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document.write( "    It is an entertainment logic problem.\r\n" );
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document.write( "    There is some definite style of writing solutions to such problems.\r\n" );
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document.write( "    The solution should not be wordy.\r\n" );
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document.write( "    It must be short, clear, straightforward and convincing.\r\n" );
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document.write( "    It should inspire the reader; it should entertain; it should not be boring or tedious.\r\n" );
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