document.write( "Question 387968: this is the kind of problem that I am having trouble with:
\n" ); document.write( "Two numbers differ by 6 and their reciprocals differ by 8/15. Find the numbers.\r
\n" ); document.write( "\n" ); document.write( "I have been able to figure out 2 equations based on that information:
\n" ); document.write( "x - y = 6 and 1/x - 1/y = 8/15\r
\n" ); document.write( "\n" ); document.write( "are these equations accurate?
\n" ); document.write( "If not, what should they be, instead?
\n" ); document.write( "If so, what are the next steps that I should take?
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Algebra.Com's Answer #274255 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
You have the right idea, but there's a slight problem. \r
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\n" ); document.write( "\n" ); document.write( "If \"x%3Ey\", then this means that \"x-y%3E0\". So the first equation \"x-y=6\" implies that \"x%3Ey\" (ie 'x' is the bigger number)\r
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\n" ); document.write( "\n" ); document.write( "However, recall that if \"x%3Ey\", then \"1%2Fx%3C1%2Fy\". So the equation \"1%2Fx-1%2Fy=8%2F15\" implies that 'x' is the smaller number, which is a contradiction.\r
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\n" ); document.write( "\n" ); document.write( "So the second equation should be \"1%2Fy-1%2Fx=8%2F15\"
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