document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=408092>Question 408092</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i think of a pair of numbers.if i add 7 to the first.i obtain a number which is twice the second if i add 20 to the second.i obtain a number  which is four times the first.what are the numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #287561 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=287561\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i think of a pair of numbers.<BR>\n" );
document.write( "if i add 7 to the first.i obtain a number which is twice the second if i add 20 to the second.i obtain a number which is four times the first.what are the numbers?<BR>\n" );
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document.write( "Two numbers, x & y<BR>\n" );
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document.write( "\"I think of a pair of numbers, If I add 7 to the first, I obtain a number which is twice the second\"<BR>\n" );
document.write( "x + 7 = 2y<BR>\n" );
document.write( "x = (2y-7)<BR>\n" );
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document.write( "\"If I add 20 to the second, I obtain a number which is four times the first.\"<BR>\n" );
document.write( "4x = y + 20<BR>\n" );
document.write( "Replace x with (2y-7)<BR>\n" );
document.write( "4(2y-7) = y + 20<BR>\n" );
document.write( "8y - 28 = y + 20<BR>\n" );
document.write( "8y - y = 20 + 28<BR>\n" );
document.write( "7y = 48<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2F7 ALIGN=MIDDLE  ALT=\"48%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = 6<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F7 ALIGN=MIDDLE  ALT=\"6%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >; the 2nd number<BR>\n" );
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document.write( "Find x:<BR>\n" );
document.write( "x = 2y - 7<BR>\n" );
document.write( "x = 2(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2F7 ALIGN=MIDDLE  ALT=\"48%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 7<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=96%2F7 ALIGN=MIDDLE  ALT=\"96%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=49%2F7 ALIGN=MIDDLE  ALT=\"49%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=47%2F7 ALIGN=MIDDLE  ALT=\"47%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 6<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F7 ALIGN=MIDDLE  ALT=\"5%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >; the 1st number<BR>\n" );
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document.write( "Check solutions in the statement:<BR>\n" );
document.write( "\"If I add 20 to the second, I obtain a number which is four times the first.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2F7 ALIGN=MIDDLE  ALT=\"48%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 20 = 4(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=47%2F7 ALIGN=MIDDLE  ALT=\"47%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >) <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2F7 ALIGN=MIDDLE  ALT=\"48%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=140%2F7 ALIGN=MIDDLE  ALT=\"140%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=188%2F7 ALIGN=MIDDLE  ALT=\"188%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=188%2F7 ALIGN=MIDDLE  ALT=\"188%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=188%2F7 ALIGN=MIDDLE  ALT=\"188%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >; confirms our solutions<BR>\n" );
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document.write( " </SPAN>\n" );
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