document.write( "Question 1040408: One number is 11 times larger than another. The difference of their reciprocals is 2. Determine the two numbers \n" ); document.write( "

Algebra.Com's Answer #655208 by josmiceli(19441) $\"\"$ $\"About$

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(1) $\"+n%5B1%5D+=+11n%5B2%5D+\"$
\n" ); document.write( "(2) $\"+1%2Fn%5B2%5D+-+1%2Fn%5B1%5D+=+2+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "Multiply both sides of (2) by $\"+n%5B1%5D+\"$
\n" ); document.write( "(2) $\"+n%5B1%5D+%2F+n%5B2%5D+-+1+=+2n%5B1%5D+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+n%5B1%5D+%2F+n%5B2%5D+=+11+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+11+-+1+=+2n%5B1%5D+\"$
\n" ); document.write( "(2) $\"+2n%5B1%5D+=+10+\"$
\n" ); document.write( "(2) $\"+n%5B1%5D+=+5+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+n%5B1%5D+=+11n%5B2%5D+\"$
\n" ); document.write( "(1) $\"+5+=+11n%5B2%5D+\"$
\n" ); document.write( "(1) $\"+n%5B2%5D+=+5%2F11+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "check answers
\n" ); document.write( "(2) $\"+1%2Fn%5B2%5D+-+1%2Fn%5B1%5D+=+2+\"$
\n" ); document.write( "(2) $\"+11%2F5+-+1%2F5+=+2+\"$
\n" ); document.write( "(2) $\"+11+-+1+=+10+\"$
\n" ); document.write( "(2) $\"+10+=+10+\"$
\n" ); document.write( "OK \n" ); document.write( "

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