document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=115477>Question 115477</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/020132458x/algebrahomeworkh>algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A two-digit number is five times its units digit. if the digits are reversed the resulting number is 27 more than the original number, find the original number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #84041 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=84041\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = 10's digit and y = the units digit<BR>\n" );
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document.write( "Write an equation for what it says, simplify as much as you can:<BR>\n" );
document.write( "\"A two-digit number is five times its units digit.\"<BR>\n" );
document.write( "10x + y = 5y<BR>\n" );
document.write( "10x = 5y - y<BR>\n" );
document.write( "10x = 4y<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284y%29%2F10 ALIGN=MIDDLE  ALT=\"%284y%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = .4y<BR>\n" );
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document.write( "\"if the digits are reversed the resulting number is 27 more than the original number\"<BR>\n" );
document.write( "10y + x = 10x + y + 27<BR>\n" );
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document.write( "10y - y = 10x - x + 27<BR>\n" );
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document.write( "9y = 9x + 27<BR>\n" );
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document.write( "Simplify, divide by 9:<BR>\n" );
document.write( "y - x + 3<BR>\n" );
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document.write( "Substitute .4y for x in the above equation, find y<BR>\n" );
document.write( "y = .4y + 3<BR>\n" );
document.write( "y - .4y = 3<BR>\n" );
document.write( ".6y = 3<BR>\n" );
document.write( "y = 3/.6<BR>\n" );
document.write( "y = 5<BR>\n" );
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document.write( "x = .4y<BR>\n" );
document.write( "x = .4(5)<BR>\n" );
document.write( "x = 2<BR>\n" );
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document.write( "Our original two digit number is 25:<BR>\n" );
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document.write( "Check our solution in the statement:<BR>\n" );
document.write( " \"if the digits are reversed the resulting number is 27 more than the original number, \"<BR>\n" );
document.write( "52 = 25 + 27; confirms our solution<BR>\n" );
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document.write( "Did this make sense to you? Not that hard, right? \r<BR>\n" );
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document.write( " </SPAN>\n" );
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