document.write( "Question 966402: If the sum of the reciprocals of two consecutive positive integers is equal to 13/42, then the integers are 12 and 13 \n" ); document.write( "

Algebra.Com's Answer #590663 by Fombitz(32388) $\"\"$ $\"About$

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$\"1%2F12%2B1%2F13=13%2F42\"$
\n" ); document.write( "Multiply both sides by $\"12%2A13\"$
\n" ); document.write( " $\"13%2B12=%2812%2A13%29%2813%2F42%29\"$
\n" ); document.write( " $\"25=338%2F7\"$
\n" ); document.write( "False, so 12 and 13 are not a solution.
\n" ); document.write( "There is no integer solution that satisfies this equation.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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