document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=894481>Question 894481</A>: <I><SPAN STYLE=\"word-break: break-all;\">  In a family, a couple has a son and a daughter. The age of the father is three times that of his daughter and the age of the son is half of his mother. The wife is 9 years younger to her husband and the brother is seven years older than his sister. What is the age of the mother?<BR>\n" );
document.write( "(1) 40<BR>\n" );
document.write( "(2) 50<BR>\n" );
document.write( "(3) 45<BR>\n" );
document.write( "(4) 60<BR>\n" );
document.write( "(5) None of these\r<BR>\n" );
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document.write( "Read more: http://www.bankersadda.com/2014/08/reasoning-quiz_23.html#ixzz3BE50WUqj<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 #542078 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=542078\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3. In a family, a couple has a son and a daughter. The age of the father is three times that of his daughter and the age of the son is half of his mother. The wife is 9 years younger to her husband and the brother is seven years older than his sister. What is the age of the mother?<BR>\n" );
document.write( "(1) 40<BR>\n" );
document.write( "(2) 50<BR>\n" );
document.write( "(3) 45<BR>\n" );
document.write( "(4) 60<BR>\n" );
document.write( "(5) None of these\r<BR>\n" );
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document.write( "the mother is 60.\r<BR>\n" );
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document.write( "here's how it works, or at least one way that it works.\r<BR>\n" );
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document.write( "f = father's age<BR>\n" );
document.write( "m = mother's age<BR>\n" );
document.write( "s = son's age<BR>\n" );
document.write( "d = daugher's age\r<BR>\n" );
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document.write( "f = 3d<BR>\n" );
document.write( "s = m/2<BR>\n" );
document.write( "m = f-9<BR>\n" );
document.write( "s = d+7\r<BR>\n" );
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document.write( "that's what you start with.\r<BR>\n" );
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document.write( "you are looking for m.\r<BR>\n" );
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document.write( "from m/2 = s, you can solve for m to get m = 2s.\r<BR>\n" );
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document.write( "from s = d+7, you can replace s with d+7 to get m = 2(d+7) = 2d+14\r<BR>\n" );
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document.write( "from f = 3d and m = f-9, you can replace f with 3d and get m = 3d-9\r<BR>\n" );
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document.write( "you have m = 3d-9 and you have m = 2d+14\r<BR>\n" );
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document.write( "from this you get 3d-9 = 2d+14 and you can solve for d to get d = 23.\r<BR>\n" );
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document.write( "since f = 3d, you get f = 69\r<BR>\n" );
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document.write( "since m = f-9, you get m = 60\r<BR>\n" );
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document.write( "since s = d+7, you get s = 30\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "f = 69<BR>\n" );
document.write( "m = 60<BR>\n" );
document.write( "s = 30<BR>\n" );
document.write( "d = 23\r<BR>\n" );
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document.write( "f = 3d becomes 69 = 3*23 which becomes 69 = 69 - this is good.<BR>\n" );
document.write( "s = m/2 becomes 30 = 60/2 which becomes 30 = 30 - this is also good.<BR>\n" );
document.write( "m = f-9 becomes 60 = 69-9 which becomes 60 = 60 - this is also good.<BR>\n" );
document.write( "s = d+7 becomes 30 = 23+7 which becomes 30 = 30 - this is also good.\r<BR>\n" );
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document.write( "they're all good so the solution is confirmed as good.\r<BR>\n" );
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document.write( "the solution is that the age of the mother is 60.\r<BR>\n" );
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