document.write( "Question 191638: The difference between the reciprocal of two cosecutive positive even number is 1/12. Find the two numbers. \n" ); document.write( "

Algebra.Com's Answer #143772 by orca(409) $\"\"$ $\"About$

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Let n and n+1 be the two consecutive numbers.\r
\n" ); document.write( "\n" ); document.write( "Then $\"1%2Fn+-1%2F%28n%2B1%29=1%2F12\"$ \r
\n" ); document.write( "\n" ); document.write( "Solving for n, we have\r
\n" ); document.write( "\n" ); document.write( " $\"12%28n%2B1+-n%29+=+n%28n%2B1%29\"$
\n" ); document.write( " $\"12=n%5E2%2Bn\"$
\n" ); document.write( " $\"n%5E2%2Bn-12=0\"$
\n" ); document.write( " $\"%28n%2B4%29%28n-3%29=0\"$
\n" ); document.write( "so n= -4, or n=3
\n" ); document.write( "If n= -4, the two consecutive numbers are -4, -3.
\n" ); document.write( "If n = 3, the two consecutive numbers are 3, 4.
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