document.write( "Question 960672: The sum of the reciprocals of two consecutive positive number is 17/72. Find the number. \n" ); document.write( "

Algebra.Com's Answer #587108 by josgarithmetic(39616) $\"\"$ $\"About$

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Numbers n and n+1, n>0.\r
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\n" ); document.write( "\n" ); document.write( " $\"1%2Fn%2B1%2F%28n%2B1%29=17%2F72\"$ \r
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\n" ); document.write( "\n" ); document.write( "First couple of steps can be\r
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\n" ); document.write( "\n" ); document.write( " $\"%281%2Fn%2B1%2F%28n%2B1%29%29%2872n%28n%2B1%29%29=17%2A72n%28n%2B1%29%2F72\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"72%28n%2B1%29%2B72n=17n%28n%2B1%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "----remains unfinished here but you should be able. \n" ); document.write( "

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