document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=923441>Question 923441</A>: <I><SPAN STYLE=\"word-break: break-all;\"> five times the units digit of a two-digit number equals 4 more than the tens digit. If the digits are reversed, the new number is 5 less than half the original number.  Find the number.\r<BR>\n" );
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document.write( "email address is sundaeaw@yahoo,com </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #560128 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=560128\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let a = the 10's digit<BR>\n" );
document.write( "let b = the units<BR>\n" );
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document.write( "10a+b = \"the original number\"<BR>\n" );
document.write( "and<BR>\n" );
document.write( "10b+a = \"the reversed number\"<BR>\n" );
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document.write( "Write an equation for each statement<BR>\n" );
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document.write( " five times the units digit of a two-digit number equals 4 more than the tens digit.<BR>\n" );
document.write( "5b = a + 4<BR>\n" );
document.write( "rearrange for substitution<BR>\n" );
document.write( "a = 5b - 4<BR>\n" );
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document.write( "If the digits are reversed, the new number is 5 less than half the original number.<BR>\n" );
document.write( "10b + a = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >(10a+b) - 5<BR>\n" );
document.write( "multiply both sides by 2 to get rid of the fraction, you then have<BR>\n" );
document.write( "20b + 2a = 10a + b - 10<BR>\n" );
document.write( "20b - b = 10a - 2a - 10<BR>\n" );
document.write( "19b = 8a - 10<BR>\n" );
document.write( "replace a with (5b-4), from the 1st statement<BR>\n" );
document.write( "19b = 8(5b-4) - 10<BR>\n" );
document.write( "19b = 40b - 32 - 10<BR>\n" );
document.write( "19b = 40b - 42<BR>\n" );
document.write( "42 = 40b - 19b<BR>\n" );
document.write( "42 = 21b<BR>\n" );
document.write( "b = 42/21<BR>\n" );
document.write( "b = 2 is the units digit<BR>\n" );
document.write( "then we now a = 5b-4<BR>\n" );
document.write( "a = 5(2) - 4<BR>\n" );
document.write( "a = 10 - 4<BR>\n" );
document.write( "a = 6 is the 10's digit<BR>\n" );
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document.write( "62 is the original number<BR>\n" );
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document.write( "Check this out in the statement:<BR>\n" );
document.write( " \"If the digits are reversed, the new number is 5 less than half the original number.\"<BR>\n" );
document.write( "26 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >(62) - 5<BR>\n" );
document.write( "26 = 31 - 5\r<BR>\n" );
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