document.write( "Question 190058: Before, solving the problem, I just want to give you the heads up. It's Application of Rational Equations. I can't find the specific title to relate with my story problems. My chapter in the book is Chapter Six Solving Rational Equations and Application of rational Equations. Hope it helps!\r
\n" ); document.write( "\n" ); document.write( "One number is 4 times as larger as another. The sum of their reciprocals is 5/12. Find the two numbers.
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Algebra.Com's Answer #142627 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Let x = \"a number\"
\n" ); document.write( "Let y = \"another number
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\n" ); document.write( "write an equation for each statement:
\n" ); document.write( "\"One number is 4 times as larger as another.\"
\n" ); document.write( "x = 4y
\n" ); document.write( ":
\n" ); document.write( "\" The sum of their reciprocals is 5/12.\"
\n" ); document.write( "\"1%2Fx\" + \"1%2Fy\" = \"5%2F12\"
\n" ); document.write( ":
\n" ); document.write( "From the 1st statement substitute 4y for x in the above equation:
\n" ); document.write( "\"1%2F%284y%29\" + \"1%2Fy\" = \"5%2F12\"
\n" ); document.write( "Multiply equation by 12y; results
\n" ); document.write( "3 + 12 = 5y
\n" ); document.write( "5y = 15
\n" ); document.write( "y = \"15%2F5\"
\n" ); document.write( "y = 3
\n" ); document.write( ":
\n" ); document.write( "Remember x = 4y
\n" ); document.write( "x = 4(3)
\n" ); document.write( "x = 12
\n" ); document.write( ":
\n" ); document.write( "Check solution in the 2nd statement
\n" ); document.write( "\"1%2F%2812%29\" + \"1%2F3\" = \"5%2F12\"
\n" ); document.write( "\"1%2F%2812%29\" + \"4%2F12\" = \"5%2F12\"\r
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