document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=196884>Question 196884</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.Find the two numbers whose sum is 108 and whose difference is 24.\r<BR>\n" );
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document.write( "2. The cost of 5 tables is the same as the cost of 8 chairs. If the cost of 4 tables and 9 chairs is 3080 Rs. Find the cost of each.\r<BR>\n" );
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document.write( "3. Five years ago, A's age was four times B's age, 6 years hence A's age to B's age is 5:2. Find the ages of A and B at present.\r<BR>\n" );
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document.write( "4. If the length of a rectangular room is decreased by 2m and its breadth increased by 5m, its area would increase by 80 sq.m. If the length is increased by 3 m and its breadth decreased by 2m, its area would decrease by 20 sq.m. Find the length and breadth of the room. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #147603 by </B><A HREF=/tutors/aboutme.mpl?userid=J2R2R><B>J2R2R(94)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=J2R2R><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=J2R2R><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=147603\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.\r<BR>\n" );
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document.write( "Let x be the bigger number and y the smaller number\r<BR>\n" );
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document.write( "x + y = 108; x - y = 24\r<BR>\n" );
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document.write( "This gives 2x = 132; x = 66 therefore y = 42\r<BR>\n" );
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document.write( "2.\r<BR>\n" );
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document.write( "Let c be the price of a chair and t be the price of a table\r<BR>\n" );
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document.write( "5t = 8c; 4t + 9c = 3080\r<BR>\n" );
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document.write( "Substitute 5t/8 for c: 4t + 45t/8 = 3080; 77t/8 = 3080; 77t = 24640; t = 320 and c = 200\r<BR>\n" );
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document.write( "A table costs 320 Rs and a chair costs 200 Rs.\r<BR>\n" );
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document.write( "3.\r<BR>\n" );
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document.write( "Let A’s age be a, and B’s age be b.\r<BR>\n" );
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document.write( "From the information given, we have for five years ago; a - 5 = 4(b - 5) which gives\r<BR>\n" );
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document.write( "a - 5 - 4b + 20 = 0; a - 4b = - 15\r<BR>\n" );
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document.write( "6 years hence (which is one year on from now); (a + 1):(b + 1) = 5:2; 2(a + 1) = 5(b + 1) which gives\r<BR>\n" );
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document.write( "2a + 2 = 5b + 5; 2a - 5b = 3\r<BR>\n" );
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document.write( "If a - 4b = - 15 we have 2a - 8b = - 30\r<BR>\n" );
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document.write( "This combined with 2a - 5b = 3 gives 3b = 33; b = 11; a = 29\r<BR>\n" );
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document.write( "Therefore the age for A is 29 years and B is 11 years.\r<BR>\n" );
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document.write( "4.\r<BR>\n" );
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document.write( "Let the lengths be l and the breadth be b\r<BR>\n" );
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document.write( "(l - 2)(b + 5) = lb + 80 giving lb + 5l - 2b - 10 = lb + 80; 5l - 2b = 90 giving 15l - 6b = 270\r<BR>\n" );
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document.write( "(l + 3)(b - 2) = lb - 20 giving lb - 2l + 3b - 6 = lb - 20; - 2l + 3b = - 14 giving - 4l + 6b = - 28\r<BR>\n" );
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document.write( "Add these last two gives: 11l = 242; therefore l = 22; b = 10 </SPAN>\n" );
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