document.write( "Question 921358: I really need your help in solving this problem. I appreciate your time and efforts. Have a terrific evening :) Here is the question?\r
\n" ); document.write( "\n" ); document.write( "The sum of reciprocals of two consecutive even integers is 7/24. Find each integer
\n" ); document.write( "

Algebra.Com's Answer #558967 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "I really need your help in solving this problem. I appreciate your time and efforts. Have a terrific evening :) Here is the question?\r
\n" ); document.write( "\n" ); document.write( "The sum of reciprocals of two consecutive even integers is 7/24. Find each integer
\n" ); document.write( "

\n" ); document.write( "Let smaller integer be S
\n" ); document.write( "Then larger = S + 2
\n" ); document.write( "Therefore, \"1%2FS+%2B+1%2F%28S+%2B+2%29+=+7%2F24\"
\n" ); document.write( "24(S + 2) + 24S = 7(S)(S + 2) ------- Multiplying by LCD, 24S(S + 2)
\n" ); document.write( "\"24S+%2B+48+%2B+24S+=+7S%5E2+%2B+14S\"
\n" ); document.write( "\"48S+%2B+48+=+7S%5E2+%2B+14S\"
\n" ); document.write( "\"7S%5E2+%2B+14S+-+48S+-+48+=+0\"
\n" ); document.write( "\"7S%5E2+-+34S+-+48+=+0\"
\n" ); document.write( "(S - 6)(7S + 8) = 0
\n" ); document.write( "S, or smaller integer = \"highlight_green%286%29\" OR S = - 8/7 (ignore)
\n" ); document.write( "Larger integer: 6 + 2, or \"highlight_green%288%29\"
\n" ); document.write( "You can do the check!!
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