document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=691410>Question 691410</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the digits of a two digit number is 1. The number formed by reversing the number is 4 less than 5 times the number. Find the original number?\r<BR>\n" );
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document.write( "Can you please help me out with this question I really don't understand? thanks in advance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #426740 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=426740\">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 ones<BR>\n" );
document.write( "then<BR>\n" );
document.write( "10a+b = the two digit number<BR>\n" );
document.write( "and<BR>\n" );
document.write( "10b+a = the number with reversed digits<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "\"The sum of the digits of a two digit number is 1,\" indicates that something is wrong as written, no two positive integers are equal to 1<BR>\n" );
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document.write( "Try to solve it without knowing the sum of the digits <BR>\n" );
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document.write( " The number formed by reversing the number is 4 less than 5 times the number.<BR>\n" );
document.write( "10b + a = 5(10a+b) - 4<BR>\n" );
document.write( "10b + a = 50a + 5b - 4<BR>\n" );
document.write( "10b - 5b = 50a - a - 4<BR>\n" );
document.write( "5b = 49a - 4<BR>\n" );
document.write( "Divide both sides by 9<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=49%2F5 ALIGN=MIDDLE  ALT=\"49%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >a - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5 ALIGN=MIDDLE  ALT=\"4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A little thought here reveals that if a = 1, we have<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=49%2F5 ALIGN=MIDDLE  ALT=\"49%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5 ALIGN=MIDDLE  ALT=\"4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2F5 ALIGN=MIDDLE  ALT=\"45%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b = 9<BR>\n" );
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document.write( "a = 1, is the only value that makes b an integer <BR>\n" );
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document.write( "Our number is 19<BR>\n" );
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document.write( "Check this in the statement:<BR>\n" );
document.write( "\"The number formed by reversing the number is 4 less than 5 times the number.\"<BR>\n" );
document.write( "91 = 5(19) - 4<BR>\n" );
document.write( "91 = 95 - 4<BR>\n" );
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document.write( "The 1st statement should have read<BR>\n" );
document.write( "The sum of the digits is 10\r<BR>\n" );
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document.write( " </SPAN>\n" );
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