document.write( "Question 1187207: The sum of the reciprocals of two numbers is 7. The larger reciprocal exceeds the smaller one by 7/3. Find the numbers
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Algebra.Com's Answer #818148 by ikleyn(52787) $\"\"$ $\"About$

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\n" ); document.write( "The sum of the reciprocals of two numbers is 7.
\n" ); document.write( "The larger reciprocal exceeds the smaller one by 7/3.
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\n" ); document.write( "\n" ); document.write( " Since the entire problem is formulated as the relations between reciprocals,\r
\n" ); document.write( "\n" ); document.write( " it is natural to solve it for reciprocal.\r
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document.write( "Let  x and y be THE RECIPROCALS.\r\n" );
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document.write( "Then we have these equations\r\n" );
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document.write( "    x + y = 7\r\n" );
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document.write( "    x - y = 7/3.\r\n" );
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document.write( "Add equations.  You will get  2x =  =  = .\r\n" );
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document.write( "                Hence,  x = .\r\n" );
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document.write( "Subtract equations.  You will get  2y =  =  = .\r\n" );
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document.write( "                Hence,  y = .\r\n" );
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document.write( "Thus the numbers are   =   and   = .    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "The lesson to learn from my post is HOW TO select your starting unknowns to make the solution AS SIMPLE as possible.\r
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