document.write( "Question 1043768: The difference between two integers is 5. If the reciprocal of the smaller is added to twice the reciprocal of the larger the result is 23/66. Find the two integers. \n" ); document.write( "

Algebra.Com's Answer #659040 by MathTherapy(10559) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "The difference between two integers is 5. If the reciprocal of the smaller is added to twice the reciprocal of the larger the result is 23/66. Find the two integers.
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Let the larger be L
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document.write( "Then smaller = L – 5
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document.write( "We then get: _______
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document.write( "66L + 2(66)(L – 5) = 23L(L – 5) -------- Multiplying by LCD, 66L(L – 5)
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document.write( "23L(L – 11) – 60(L – 11) = 0
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document.write( "(L – 11)(23L – 60) = 0
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document.write( "L, or   	   OR        L =  (ignore)
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