document.write( "Question 1144295: There are 2 trees in a garden (tree \"A\" and \"B\") and on the both trees are some birds.If half of birds of tree A comes to tree B it will become equal to the birds on tree A and if half of birds of tree B comes to tree A it will become double of the birds on tree B.so, How many birds are on each tree? \n" ); document.write( "

Algebra.Com's Answer #765363 by Edwin McCravy(20055) $\"\"$ $\"About$

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>>There are 2 trees in a garden (tree \"A\" and \"B\") and on the both trees are some birds...<<
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document.write( "Let x = the number of birds on tree \"A\".\r\n" );
document.write( "Let y = the number of birds on tree \"B\".\r\n" );
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\n" ); document.write( ">>If half of birds of tree A come to tree B...<<
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document.write( "Then tree A will have only  birds and \r\n" );
document.write( "tree B will have  birds.\r\n" );
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\n" ); document.write( ">>it (tree B) will become equal to the birds on tree A...<<
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document.write( "So  which, upon multiplying through by 2,\r\n" );
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document.write( "(1)  So in the beginning, tree A has twice as many birds as tree B.\r\n" );
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document.write( "Remember that as statement (1)\r\n" );
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\n" ); document.write( ">>and if half of birds of tree B comes to tree A<<
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document.write( "Then tree B will have only  birds and \r\n" );
document.write( "tree A will have  birds.\r\n" );
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\n" ); document.write( "it (tree A) will become double of the birds on tree B.
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document.write( "So  which, upon multiplying through by 2,\r\n" );
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document.write( "(2)  So in the beginning, tree A has one and a half as many birds as tree B.\r\n" );
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document.write( "Remember that as statement (2)\r\n" );
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document.write( ">>so, How many birds are on each tree?<<
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document.write( "There is no solution because statements (1) and (2) are contradictory.\r\n" );
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document.write( "We solve the system:\r\n" );
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document.write( "We substitute 2y for x in 2x=3y\r\n" );
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document.write( "2(2y) = 3y\r\n" );
document.write( "  4y  = 3y\r\n" );
document.write( "   y  = 0\r\n" );
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document.write( "x = 2y = 2(0) = 0\r\n" );
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document.write( "There are no birds on either tree. \r\n" );
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document.write( "That can't be a solution unless \"some birds\" can mean \"no birds\".\r\n" );
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document.write( "Edwin
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