document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1141879>Question 1141879</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The ratio of the ages of two sisters is 4 :3.The elder sister is 3 years older than the younger one. Find their ages.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #762522 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=762522\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let a represent the age of the older sister.<BR>\n" );
document.write( "let b represent the age of the younger sister.\r<BR>\n" );
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document.write( "the ratio of the older sister to the younger sister is 4:3.\r<BR>\n" );
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document.write( "you get a/b = 4/3\r<BR>\n" );
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document.write( "the older sister is 3 years older than the younger sister.\r<BR>\n" );
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document.write( "you get a = b + 3\r<BR>\n" );
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document.write( "in the equation of a/b = 4/3, replace a with b + 3 to get:\r<BR>\n" );
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document.write( "(b + 3) / b = 4 / 3\r<BR>\n" );
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document.write( "multiply both sides of this equation by b to get b + 3 = 4 * b / 3\r<BR>\n" );
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document.write( "multiply both sides of this equation by 3 to get 3 * b + 9 = 4 * b\r<BR>\n" );
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document.write( "subtract 3 * b from both sides of this equation to get 9 = 4 * b - 3 * b\r<BR>\n" );
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document.write( "combine like terms to get 9 = b.\r<BR>\n" );
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document.write( "that's the age of the younger sister.\r<BR>\n" );
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document.write( "the older sister is 3 years older, so the age of the older sister is 12.\r<BR>\n" );
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document.write( "you have a = 12 and b = 9, with a representing the age of the older sister and b representing the age of the younger sister.\r<BR>\n" );
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document.write( "the ratio of the age of the older sister to the age of the younger sister is equal to a / b which is equal to 12 / 9.\r<BR>\n" );
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document.write( "this can be simplified to 4 / 3, confirming the solution is good.\r<BR>\n" );
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