document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1017846>Question 1017846</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two numbers are in the ratio of 4:5. the value of the large number is 35 more than the smaller number, then the product of the numbers is ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #634049 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=634049\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the numbers be x and  y.\r<BR>\n" );
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document.write( "the ratio between x and y is x/y = 4/5.\r<BR>\n" );
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document.write( "the value of the larger number is 35 more than the smaller number.\r<BR>\n" );
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document.write( "if the ratio of x/y = 4/5, then y must be the larger number.\r<BR>\n" );
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document.write( "how do you know that?\r<BR>\n" );
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document.write( "solve the equation for x to get x = 4/5 * y.\r<BR>\n" );
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document.write( "since the fraction is less than 1, x must be smaller than y.\r<BR>\n" );
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document.write( "the problem states that the larger number is equal to 35 more than the smaller number.\r<BR>\n" );
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document.write( "this means that y = x + 35.\r<BR>\n" );
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document.write( "since y = x + 35, the ratio of x/y = 4/5 becomes x/(x+35) = 4/5\r<BR>\n" );
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document.write( "cross multiply to get 5x = 4 * (x+35)\r<BR>\n" );
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document.write( "simplify to get 5x = 4x + 140\r<BR>\n" );
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document.write( "subtract x from both sides of the equation to get 5x - 4x = 4x + 140 - 4x\r<BR>\n" );
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document.write( "simplify to get x = 140.\r<BR>\n" );
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document.write( "since y = x + 35, then y must be equal to 175.\r<BR>\n" );
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document.write( "you have x = 140 and y = 175.\r<BR>\n" );
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document.write( "the ratio between x and y is 4/5, so you get x/y = 4/5 becomes 140/175 = 4/5.\r<BR>\n" );
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document.write( "since 4 goes into 140 thirty five times, then divide numerator and denominator of 140/175 by 35 to get:\r<BR>\n" );
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document.write( "(140/35) / (175/35) = 4/5.\r<BR>\n" );
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document.write( "the ratio holds.\r<BR>\n" );
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document.write( "x = 140 and y = 175.\r<BR>\n" );
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document.write( "multiply x and y together to get 140 * 175 = 24500.\r<BR>\n" );
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document.write( "the product of the numbers is 24,500.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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