document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=176617>Question 176617</A>: <I><SPAN STYLE=\"word-break: break-all;\"> father say to his son seven years ago i was 7 times as old as you were but 3 years hence my age will be twice that of yours .find their ages?<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 #131695 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10559)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=131695\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hence means “from now.”\r<BR>\n" );
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document.write( "Let s   =   son’s age now<BR>\n" );
document.write( "Then 7 years ago, son’s age was s - 7  <BR>\n" );
document.write( "Since father’s age, 7 years ago was 7 times his son’s, then father’s age then was 7(s – 7) = 7s - 49<BR>\n" );
document.write( "In 3 years time, son’s and father’s ages would be their ages 7 years ago, plus 10 years<BR>\n" );
document.write( "Therefore, their ages, 3 years from now, or 10 years from 7 years ago will be s – 7 + 10, or s + 3 (son’s), and 7s – 49 + 10, or 7s – 39 (father’s).\r<BR>\n" );
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document.write( "Now, since in 3 year’s time, the father’s age will be twice that of his son’s, then we have: 2(s + 3)  =  7s – 39\r<BR>\n" );
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document.write( "2s  +  6  =  7s – 39<BR>\n" );
document.write( "-5s  =  - 45<BR>\n" );
document.write( "s  =  9\r<BR>\n" );
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document.write( "Therefore, son is now 9 years-old.\r<BR>\n" );
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document.write( "Now, since 7 years ago, father’s age was 7 times his son’s, then 7 years ago, his son was (9 – 7) = 2, which means that the father was 7(2), or 14 years-old then. \r<BR>\n" );
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document.write( "If father was 14 years old 7 years ago, that makes him 21 years-old now.\r<BR>\n" );
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document.write( "Checking to see if this is correct, let’s calculate their ages 3 years from now. 3 years from now, the son will we 12 (9 + 3), and the father will be 24 (21 + 3). This shows that in 3 year’s time, the father, at 24, will be twice the son’s age of 12.\r<BR>\n" );
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document.write( "Therefore, the son is now 9 years old, and the father is 21 years-old.<BR>\n" );
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