document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=395146>Question 395146</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. the sum of the digits f a two-digit number is 11. when the digits are reversed, the new number is increased by 20 which is twice the original number. find the original number.\r<BR>\n" );
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document.write( "2. the units digit of a two-digit number is 3 less than its tens digit. if the number is divided by the sum of its digits, the quotient is 6 and the remainder is 8. find the number.\r<BR>\n" );
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document.write( "pls help me! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #280465 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=280465\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. the sum of the digits f a two-digit number is 11. when the digits are reversed, the new number is increased by 20 which is twice the original number. find the original number.<BR>\n" );
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document.write( "Let the number be 10t+u.<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "t + u = 11<BR>\n" );
document.write( "10u+t+20 = 2(10t+u)<BR>\n" );
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document.write( "Substitute for \"t\" and solve for \"u\":<BR>\n" );
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document.write( "10u + 11-u + 20 = 20(11-u)+2u<BR>\n" );
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document.write( "9u + 31 = 220-20u+2u<BR>\n" );
document.write( "-27u = -189<BR>\n" );
document.write( "u = 7<BR>\n" );
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document.write( "Solve for \"t\":<BR>\n" );
document.write( "t+u = 11<BR>\n" );
document.write( "t+7 = 11<BR>\n" );
document.write( "t = 4<BR>\n" );
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document.write( "Original Number: 47<BR>\n" );
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document.write( " <BR>\n" );
document.write( "2. the units digit of a two-digit number is 3 less than its tens digit. if the number is divided by the sum of its digits, the quotient is 6 and the remainder is 8. find the number.<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "u = t-3<BR>\n" );
document.write( "(10t+u)/(t+u) = 6(t+u)+8<BR>\n" );
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document.write( "Substitute for \"u\" and solve for \"t\":<BR>\n" );
document.write( "(10t+t-3)/(t+t-3) = 6(t+t-3)+8<BR>\n" );
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document.write( "(11t-3)/(2t-3) = 12t-18+8<BR>\n" );
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document.write( "(11t-3)/(2t-3) = 12t-10<BR>\n" );
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document.write( "11t-3 = 2(2t-3)(6t-5)<BR>\n" );
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document.write( "11t-3 = 2[12t^2-10t-18t+15)<BR>\n" );
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document.write( "11t-3 = 24t^2-56t+30<BR>\n" );
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document.write( "24t^2-67t+33 = 0<BR>\n" );
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document.write( "Comment:<BR>\n" );
document.write( "This equation does not have a whole<BR>\n" );
document.write( "number solution.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
document.write( " </SPAN>\n" );
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