document.write( "Question 610037: . The sum of the reciprocals of two consecutive positive odd integers is 16/63. Find the integers. \n" ); document.write( "

Algebra.Com's Answer #384093 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
\n" );
document.write( "Hi, 
\n" );
document.write( "The sum of the reciprocals of two consecutive positive odd integers is 16/63
\n" );
document.write( "
\n" );
document.write( "  63(n+2) + 63n = 16n(n+2)              |||Multiplying thru by 63n(n+2) so as all denominators = 1
\n" );
document.write( "  16n^2 - 94n - 126 = 0
\n" );
document.write( "
\n" );
document.write( "  n = 7, tossing out negative solution
\n" );
document.write( "   7 and 9 are the two consecutive positive odd integers
\n" );
document.write( "CHECKING our Answer***
\n" );
document.write( "1/7 + 1/9 = 16/63 \n" );
document.write( "

\n" );