document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149189>Question 149189</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, can you please help me solve this problems:<BR>\n" );
document.write( "1.)  One number is 3 more than the other. Their sum is 7. Find the numbers.\r<BR>\n" );
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document.write( "2.)  The denominator of a fraction is twice the numerator. If the sum of the<BR>\n" );
document.write( "     terms is 3, what is the fraction?\r<BR>\n" );
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document.write( "3.)  The sum of two numbers is 165 and their difference is 29. Find the<BR>\n" );
document.write( "     numbers. \r<BR>\n" );
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document.write( "4.)  If the numerator of a certain fraction is increased by 6 and its <BR>\n" );
document.write( "     denominator is decreased by 5, the resulting fraction is equal to 3/4.<BR>\n" );
document.write( "     If the reciprocal of the original fraction is decreased by 1, the <BR>\n" );
document.write( "     resulting fraction is 16/9. Find the original fraction. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109492 by </B><A HREF=/tutors/aboutme.mpl?userid=oscargut><B>oscargut(2103)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oscargut><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/cgi-bin/show-face.mpl?user=oscargut><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=109492\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.) One number is 3 more than the other. Their sum is 7. Find the numbers. <BR>\n" );
document.write( "y=x+3, x+y=7 then x+x=3=7 then 2x=4 then x=2 and y=5\r<BR>\n" );
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document.write( "2.) The denominator of a fraction is twice the numerator. If the sum of the<BR>\n" );
document.write( "terms is 3, what is the fraction? <BR>\n" );
document.write( "fraction is x/2x  x+2x=3x=3 then x=1 and fraction is 1/2\r<BR>\n" );
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document.write( "3.) The sum of two numbers is 165 and their difference is 29. Find the<BR>\n" );
document.write( "numbers. <BR>\n" );
document.write( "x+y=165<BR>\n" );
document.write( "x-y=29<BR>\n" );
document.write( "adding\r<BR>\n" );
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document.write( "2x=194<BR>\n" );
document.write( "x=97 and y=68\r<BR>\n" );
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document.write( "4.) If the numerator of a certain fraction is increased by 6 and its <BR>\n" );
document.write( "denominator is decreased by 5, the resulting fraction is equal to 3/4.<BR>\n" );
document.write( "If the reciprocal of the original fraction is decreased by 1, the <BR>\n" );
document.write( "resulting fraction is 16/9. Find the original fraction.\r<BR>\n" );
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document.write( "fraction is x/y\r<BR>\n" );
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document.write( "(x+6)/(y-5)=3/4<BR>\n" );
document.write( "(y/x)-1=16/9\r<BR>\n" );
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document.write( "then\r<BR>\n" );
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document.write( "4(x+6)=3(y-5)<BR>\n" );
document.write( "y/x=25/9\r<BR>\n" );
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document.write( "4x+24=3y-15<BR>\n" );
document.write( "9y=25x\r<BR>\n" );
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document.write( "4x-3y=-39<BR>\n" );
document.write( "-25x+9y=0\r<BR>\n" );
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document.write( "12x-9y=-117<BR>\n" );
document.write( "-25x+9y=0\r<BR>\n" );
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document.write( "adding\r<BR>\n" );
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document.write( "-13x=-117<BR>\n" );
document.write( "x=9<BR>\n" );
document.write( "y=25\r<BR>\n" );
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document.write( "so fraction is 9/25<BR>\n" );
document.write( " </SPAN>\n" );
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