document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147019>Question 147019</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve following word problems:\r<BR>\n" );
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document.write( "A: One number is 3 times another. If the sum of their reciprocals is 1/6, find the two numbers.\r<BR>\n" );
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document.write( "B: If one-third of a number is subtracted from three-fourths of that number, the difference is 15. What is the number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #107387 by </B><A HREF=/tutors/aboutme.mpl?userid=24HoursTutor.com><B>24HoursTutor.com(40)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=24HoursTutor.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=107387\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A)<BR>\n" );
document.write( "Let one number be x<BR>\n" );
document.write( "and the other number be y<BR>\n" );
document.write( "We know that y = 3x<BR>\n" );
document.write( "Reciprocal of x = 1/x<BR>\n" );
document.write( "Reciprocal of y = 1/y<BR>\n" );
document.write( "Sum of reciprocal = 1/6\r<BR>\n" );
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document.write( "So, we have<BR>\n" );
document.write( "1/x + 1/y = 1/6<BR>\n" );
document.write( "Now substituting 3x in place of y we get :<BR>\n" );
document.write( "1/x+1/3x = 1/6<BR>\n" );
document.write( "(3+1)/3x = 1/6<BR>\n" );
document.write( "4/3x = 1/6<BR>\n" );
document.write( "4X6=1X3x<BR>\n" );
document.write( "24=3x<BR>\n" );
document.write( "x=24/3<BR>\n" );
document.write( "x=8<BR>\n" );
document.write( "y=3x=3X 8 =24<BR>\n" );
document.write( "Answer: The two numbers are 8 and 24.\r<BR>\n" );
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document.write( "B)  <BR>\n" );
document.write( "Let us assume the number to be x.  We can write the information given in the question as the following equation :<BR>\n" );
document.write( "1x/3 - 3x/4 = 15<BR>\n" );
document.write( "(4x-9x)/12 = 15<BR>\n" );
document.write( "-5x/12 = 15<BR>\n" );
document.write( "-5x = 15 X 12<BR>\n" );
document.write( "-5x = 180<BR>\n" );
document.write( "x = 180/-5<BR>\n" );
document.write( "x = -36<BR>\n" );
document.write( "Answer: The number is -36<BR>\n" );
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document.write( " </SPAN>\n" );
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