document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179511>Question 1179511</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.(a) Write an expression in terms of x and y for the total value of a two digit number having x as tens digits and y as the units digit.<BR>\n" );
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document.write( "  (b) The number in (a) above is such that three times the sum of its digits is less than the value of the number by 8.When the digits are reversed the value of the number is increased by 9.Find the number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #809071 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=809071\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "1.(a) Write an expression in terms of x and y for the total value of a two digit number having x as tens digits and y as the units digit.\r<BR>\n" );
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document.write( "10x+y\r<BR>\n" );
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document.write( "(b) The number in (a) above is such that three times the sum of its digits is less than the value of the number by 8.\r<BR>\n" );
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document.write( "3(x+y)+8=10x+y<BR>\n" );
document.write( "3x+3y +8 = 10x+y<BR>\n" );
document.write( "7x-2y=8-----------------------(1)\r<BR>\n" );
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document.write( "When the digits are reversed the value of the number is increased by 9.Find the number.<BR>\n" );
document.write( "10y+x 10x+y+9<BR>\n" );
document.write( "9y-9x=9<BR>\n" );
document.write( "y-x=1<BR>\n" );
document.write( "y=(x+1)\r<BR>\n" );
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document.write( "Substitute y in (1)<BR>\n" );
document.write( "7x-2y=8<BR>\n" );
document.write( "7x-2(x+1)=8<BR>\n" );
document.write( "7x-2x-2=8<BR>\n" );
document.write( "5x=10<BR>\n" );
document.write( "x=2\r<BR>\n" );
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document.write( "y-x =1\r<BR>\n" );
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document.write( "so y =3\r<BR>\n" );
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document.write( "The number is 23\r<BR>\n" );
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document.write( " </SPAN>\n" );
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