document.write( "Question 1204547: The sum of the reciprocals of two consecutive even integers is 23/264
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Algebra.Com's Answer #840863 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "I will use an idea, which is close to Alan' solution, but is slightly different.\r\n" );
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document.write( "If the sum of the reciprocals of two consecutive even integers is 23/264,\r\n" );
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document.write( "then each reciprocal is close to   = .\r\n" );
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document.write( "Hence, each of the two consecutive even integer is close to   = 22.96.\r\n" );
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document.write( "From it, I conclude that the two consecutive even integer numbers are 22 and 24.\r\n" );
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document.write( "Now it is a matter of arithmetic to check that it is true.\r\n" );
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