document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=802976>Question 802976</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of the units digit and the tens digit of a two digit number is 7. ia 3 is added to the number, the new number equals 11 times the tens digit of the original number.Find the original number<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #484272 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=484272\">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" );
document.write( "then<BR>\n" );
document.write( "10a + b = the number<BR>\n" );
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document.write( " the sum of the units digit and the tens digit of a two digit number is 7.<BR>\n" );
document.write( "a + b = 7<BR>\n" );
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document.write( "if 3 is added to the number, the new number equals 11 times the tens digit of the original number.<BR>\n" );
document.write( "10a + b + 3 = 11a<BR>\n" );
document.write( "b + 3 = 11a - 10a<BR>\n" );
document.write( "b + 3 = a<BR>\n" );
document.write( "rearrange, use elimination with the 1st equation<BR>\n" );
document.write( "a - b = 3<BR>\n" );
document.write( "a + b = 7<BR>\n" );
document.write( "-----------Addition eliminates b, find a<BR>\n" );
document.write( "2a = 10<BR>\n" );
document.write( "a = 5<BR>\n" );
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document.write( "I'll let you find b, check your number in both statements\r<BR>\n" );
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document.write( "Find the original number </SPAN>\n" );
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