document.write( "Question 256684: The sum of the recipricals of 2 consectutive even integars is 11/60. Find the integars. \n" ); document.write( "
Algebra.Com's Answer #188766 by stanbon(75887)\"\" \"About 
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The sum of the reciprocals of 2 consecutive even integers is 11/60. Find the integers.
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\n" ); document.write( "Let the integers be:
\n" ); document.write( "1st 2x
\n" ); document.write( "2nd 2x+2
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\n" ); document.write( "Equation:
\n" ); document.write( "1/(2x) + 1/(2x+2) = 11/60
\n" ); document.write( "Multiply thru by 2 to get:
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\n" ); document.write( "1/x + 1/(x+1) = 11/30
\n" ); document.write( "(x+1 + x)/(x(x+1)) = 11/30
\n" ); document.write( "(2x+1)/(x^2+x) = 11/30
\n" ); document.write( "Cross-multiply
\n" ); document.write( "60x + 30 = 11x^2 + 11x
\n" ); document.write( "11x^2 - 49x - 30 = 0
\n" ); document.write( "(x-5)(11x+6) = 0
\n" ); document.write( "Positive solution:
\n" ); document.write( "x = 5
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\n" ); document.write( "1st number: 2x = 10
\n" ); document.write( "2nd number: 2x+2 = 12
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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