document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=718957>Question 718957</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Title: Systematic Lists -Three to Make 245<BR>\n" );
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document.write( "The sum of three numbers is 245. The ratio of the first to the second is 2 to 3, and the ratio of the second to the third is 5 to 8. What is the second Number? \r<BR>\n" );
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document.write( "My work <----                                   <BR>\n" );
document.write( "__+0+___=245   2:3=2/3        \r<BR>\n" );
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document.write( "2:3    3 times 5=15      D=Digit    The second Number is 75 <BR>\n" );
document.write( "   5:8\r<BR>\n" );
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document.write( "  D1 D2  D3<BR>\n" );
document.write( " 10+15+24=49<BR>\n" );
document.write( " 20+30+48=98<BR>\n" );
document.write( " 30+45+72=147 <BR>\n" );
document.write( " 40+60+96=196 <BR>\n" );
document.write( " 50+75+120=245\r<BR>\n" );
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document.write( "Please check for me\r<BR>\n" );
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document.write( "                                                            </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #441139 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=441139\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the numbers be x ,y,z\r<BR>\n" );
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document.write( "x/y = 2/3\r<BR>\n" );
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document.write( "x= 2y/3.....................(1)\r<BR>\n" );
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document.write( "y/z = 5/8\r<BR>\n" );
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document.write( "y= 5z/8>...................(2)\r<BR>\n" );
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document.write( "plug y in (1)\r<BR>\n" );
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document.write( "x= 2(5z/8) /3\r<BR>\n" );
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document.write( "x= 10z/24\r<BR>\n" );
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document.write( "x+y+z=245\r<BR>\n" );
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document.write( "10z/24 +5z/8+z=245\r<BR>\n" );
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document.write( "multiply equation by 24\r<BR>\n" );
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document.write( "10z+15z+24z= 245*24\r<BR>\n" );
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document.write( "49z=245*24\r<BR>\n" );
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document.write( "z= 245*24/49\r<BR>\n" );
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document.write( "z=5*24<BR>\n" );
document.write( "z=120\r<BR>\n" );
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document.write( "y/z= 5/8\r<BR>\n" );
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document.write( "y/120=5/8<BR>\n" );
document.write( "y=120*5/8\r<BR>\n" );
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document.write( "y=15*5<BR>\n" );
document.write( "y=75\r<BR>\n" );
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document.write( "x/y = 2/3<BR>\n" );
document.write( "x/75=2/3<BR>\n" );
document.write( "x=75*2/3<BR>\n" );
document.write( "x=50\r<BR>\n" );
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document.write( "CHECK\r<BR>\n" );
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document.write( "x/y = 50/75=2/3\r<BR>\n" );
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document.write( "y/z=75/120 = 5/8\r<BR>\n" );
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document.write( "50,75,120\r<BR>\n" );
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document.write( "you are right </SPAN>\n" );
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