document.write( "Question 177557: Lewis Carroll was a mathmematician and an author who used mathmatical logic when writing his stories. In his book, Through the Looking Glass, there is a conversation between Tweedledum and Tweedledee. Tweeledum says, \"The sum of your weight and twice mine is 361 pounds.' Tweedledee answers, \"Contrariwise, the sum of your weight and twice mine is 362 pounds.\" What are the weights of Tweedledum and Tweedledee? \n" ); document.write( "

Algebra.Com's Answer #132592 by Mathtut(3670) $\"\"$ $\"About$

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let the weight of tweedledee and tweedledum be a and be respectively
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\n" ); document.write( "a+2b=361.....eq 1
\n" ); document.write( "b+2a=362.....eq 2
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\n" ); document.write( "multiply eq 1 by -2 and add equations together.
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\n" ); document.write( "-2a-4b=-722.....revised eq 1
\n" ); document.write( "b+2a=362........eq 2
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\n" ); document.write( " The a terms will be eliminated because -2a+2a=0. We are left with -4b+b=-722+362
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\n" ); document.write( "-3b=-360
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\n" ); document.write( " $\"highlight%28b=120%29\"$ tweedledum's weight
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\n" ); document.write( "take b's found value and plug it back into any equation and solve for a
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\n" ); document.write( "I choose eq 1. a+2(120)=361--->a=361-240=121
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\n" ); document.write( " $\"highlight%28a=121%29\"$ tweedledee's weight
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