document.write( "Question 1156497: The sum of the reciprocals of 2 consecutive odd integers is 8/15. Find the numbers. \n" ); document.write( "

Algebra.Com's Answer #779221 by MathTherapy(10552) $\"\"$ $\"About$

You can put this solution on YOUR website!
The sum of the reciprocals of 2 consecutive odd integers is 8/15. Find the numbers.
\n" ); document.write( "

Let the smaller odd integer be N
\n" );
document.write( "Then the larger odd integer = N + 2
\n" );
document.write( "We then get: 
\n" );
document.write( "15(N + 2) + 15N, \"=\", 8N(N + 2) ------ Multiplying by LCD, 15N(N + 2)
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( " ------ Replacing - 7N with - 12N + 5N
\n" );
document.write( "4N(N - 3) + 5(N - 3) = 0
\n" );
document.write( "(N - 3)(4N + 5) = 0
\n" );
document.write( "N, or smaller odd integer =              or           
\n" );
document.write( "Do you know what the larger odd integer is now?  \n" );
document.write( "

\n" );