document.write( "Question 77098: I need help figuring this out - PLEASE :)\r
\n" ); document.write( "\n" ); document.write( "One number is 5 times another. If the sum of their reciprocals is 1/5, find the two numbers. Write an equation that represents the problem and solve.
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Algebra.Com's Answer #55257 by ptaylor(2198) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let x=one number ------------------ $\"1%2Fx\"$ will be its reciprocal
\n" ); document.write( "Then 5x=the other number------------- $\"1%2F5x\"$ will be its reciprocal\r
\n" ); document.write( "\n" ); document.write( "Now we are told that the sum of their reciprocals equals $\"1%2F5\"$ . So our equation to solve is:\r
\n" ); document.write( "\n" ); document.write( " $\"1%2Fx%2B1%2F5x=1%2F5\"$ multiply both sides by 5x to get rid of the fractions\r
\n" ); document.write( "\n" ); document.write( " $\"%285x%2Fx%29%2B%285x%2F5x%29=%285x%2F5%29\"$ or
\n" ); document.write( " $\"5%2B1=x\"$ and
\n" ); document.write( " $\"x=6\"$ ----------------------------------one number\r
\n" ); document.write( "\n" ); document.write( " $\"5x=5%2A6=30\"$ ---------------------------the other number\r
\n" ); document.write( "\n" ); document.write( "ck
\n" ); document.write( "30 is 5*6
\n" ); document.write( "also
\n" ); document.write( " $\"1%2F6%2B1%2F30=1%2F5\"$ (note that $\"1%2F6\"$ is $\"5%2F30\"$ )
\n" ); document.write( " $\"5%2F30%2B1%2F30=1%2F5\"$
\n" ); document.write( " $\"6%2F30=1%2F5\"$
\n" ); document.write( " $\"1%2F5=1%2F5\"$ \r
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\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor\r
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