document.write( "Question 586957: one number is twice another number. the sum of their reciprocals is one half. find the numbers \n" ); document.write( "

Algebra.Com's Answer #373946 by stanbon(75887) $\"\"$ $\"About$

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one number is twice another number. the sum of their reciprocals is one half. find the numbers
\n" ); document.write( "----
\n" ); document.write( "Equations:
\n" ); document.write( "x = 2y
\n" ); document.write( "1/x + 1/y = 1/2
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\n" ); document.write( "Substitute for \"x\" and solve for \"y\":
\n" ); document.write( "1/2y + 1/y = 1/2
\n" ); document.write( "----
\n" ); document.write( "Multiply thru by 2y to get:
\n" ); document.write( "1 + 2 = y
\n" ); document.write( "y = 3
\n" ); document.write( "------
\n" ); document.write( "Solve for \"x\":
\n" ); document.write( "x = 2y
\n" ); document.write( "x = 6
\n" ); document.write( "---------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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