document.write( "Question 252970: What is he product of positive integers a and b such that a is greater than b and 1/a+1/b=1/ab=1? \n" ); document.write( "

Algebra.Com's Answer #185178 by jim_thompson5910(35256) $\"\"$ $\"About$

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Well if 'a' and 'b' are both integers, then ab ('a' times 'b') is also an integer because the product of two integers is always an integer. Because $\"1%2Fab=1\"$ , this means that $\"1=ab\"$ if we multiply both sides by ab. Since 1 is the only factor of 1, this tells us that 1=1*1 and that a=1 and b=1.\r
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\n" ); document.write( "\n" ); document.write( "So if 'a' and 'b' are both positive integers and $\"1%2Fa%2B1%2Fb=1%2Fab=1\"$ , then $\"a=1\"$ , $\"b=1\"$ , and $\"ab=1\"$ \r
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\n" ); document.write( "\n" ); document.write( "So either there's a typo somewhere or you copied the problem incorrectly. Please double check the problem. \n" ); document.write( "

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