document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252310>Question 252310</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two numbers are such that their difference, their sum, and their product are to<BR>\n" );
document.write( "each other as 1:7:24. Their product must equal what number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184163 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=184163\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two numbers are such that their difference, their sum, and their product are to<BR>\n" );
document.write( "each other as 1:7:24. Their product must equal what number?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Two numbers a & b<BR>\n" );
document.write( "Let x = the multiplier<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a - b = 1x<BR>\n" );
document.write( "a + b = 7x<BR>\n" );
document.write( "a * b = 24x<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Add the 1st two equations<BR>\n" );
document.write( "a - b =  x<BR>\n" );
document.write( "a + b = 7x<BR>\n" );
document.write( "2a = 8x<BR>\n" );
document.write( "a = 4x<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x = .25a<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a * b = 24x<BR>\n" );
document.write( "Replace 24x; a = 4x therefore: <BR>\n" );
document.write( "a * b = 6a<BR>\n" );
document.write( "b = 6<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Using the 1st equation<BR>\n" );
document.write( "a - b = 1x<BR>\n" );
document.write( "Replace b with 6 and x with .25a<BR>\n" );
document.write( "a - 6 = .25a<BR>\n" );
document.write( "a - .25a = 6<BR>\n" );
document.write( ".75a = 6<BR>\n" );
document.write( "a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F.75 ALIGN=MIDDLE  ALT=\"6%2F.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 8<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the multiplier<BR>\n" );
document.write( "a - b = x<BR>\n" );
document.write( "8 - 6 = 2<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this<BR>\n" );
document.write( "a - b = 2 (1*2)<BR>\n" );
document.write( "a + b = 14; (7*2)<BR>\n" );
document.write( "a * b = 48: (24*2)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The numbers are 8 and 6; their products = 48 </SPAN>\n" );
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