document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=613761>Question 613761</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mr. Gibbs has 3 sons: Joe, John, and Mark. The sums of their ages is equal to the age of their Father. In 1 year, Mr. Gibbs will be twice as old as Joe. In 2 years, Mr. Gibbs will be 3 times as old as John. In 3 years, Mr. Gibbs will be four times as old as Mark. How old is each son now? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #386284 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=386284\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Mr. Gibbs has 3 sons: Joe, John, and Mark. The sums of their ages is equal to the age of their Father. <BR>\n" );
document.write( "In 1 year, Mr. Gibbs will be twice as old as Joe. In 2 years, Mr. Gibbs will be 3 times as old as John.<BR>\n" );
document.write( " In 3 years, Mr. Gibbs will be four times as old as Mark. How old is each son now?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let j = Joe's age<BR>\n" );
document.write( "let n = John's age<BR>\n" );
document.write( "let m = Mark's age<BR>\n" );
document.write( "Let g = father's age<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write an equation for each statement<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Mr. Gibbs has 3 sons: Joe, John, and Mark. The sums of their ages is equal to the age of their Father.<BR>\n" );
document.write( "j + n + m = g<BR>\n" );
document.write( ": <BR>\n" );
document.write( "In 1 year, Mr. Gibbs will be twice as old as Joe.<BR>\n" );
document.write( "2(j+1) = g + 1<BR>\n" );
document.write( "2j + 2 = g + 1<BR>\n" );
document.write( "2j = g + 1 -2<BR>\n" );
document.write( "2j = g - 1<BR>\n" );
document.write( "j = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28g-1%29%2F2 ALIGN=MIDDLE  ALT=\"%28g-1%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "In 2 years, Mr. Gibbs will be 3 times as old as John.<BR>\n" );
document.write( "3(n+2) = g + 2<BR>\n" );
document.write( "3n + 6 = g + 2<BR>\n" );
document.write( "3n = g + 2 - 6<BR>\n" );
document.write( "3n = g - 4<BR>\n" );
document.write( "n = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28g-4%29%2F3 ALIGN=MIDDLE  ALT=\"%28g-4%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "In 3 years, Mr. Gibbs will be four times as old as Mark.<BR>\n" );
document.write( "4(m+3) = g + 3 <BR>\n" );
document.write( "4m + 12 = g + 3<BR>\n" );
document.write( "4m = g + 3 - 12<BR>\n" );
document.write( "4m = g - 9<BR>\n" );
document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28g-9%29%2F4 ALIGN=MIDDLE  ALT=\"%28g-9%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( " How old is each son now?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "replace j, n, m<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28g-1%29%2F2 ALIGN=MIDDLE  ALT=\"%28g-1%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28g-4%29%2F3 ALIGN=MIDDLE  ALT=\"%28g-4%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28g-9%29%2F4 ALIGN=MIDDLE  ALT=\"%28g-9%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = g<BR>\n" );
document.write( "multiply by 12, to get rid of the denominators, results<BR>\n" );
document.write( "6(g-1) + 4(g-4) + 3(g-9) = 12g<BR>\n" );
document.write( "6g - 6 + 4g - 16 + 3g - 27 = 12g<BR>\n" );
document.write( "Combine like terms<BR>\n" );
document.write( "6g + 4g + 3g - 6 - 16 - 27 = 12g<BR>\n" );
document.write( "13g - 49 = 12g<BR>\n" );
document.write( "13g - 12g = 49<BR>\n" );
document.write( "g = 49 yrs is Dad's age<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find j<BR>\n" );
document.write( "j = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2849-1%29%2F2 ALIGN=MIDDLE  ALT=\"%2849-1%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "j = 24 yrs is Joe's age<BR>\n" );
document.write( "Find n<BR>\n" );
document.write( "n = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2849-4%29%2F3 ALIGN=MIDDLE  ALT=\"%2849-4%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "n = 15 yrs is John's age<BR>\n" );
document.write( "Find m<BR>\n" );
document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2849-9%29%2F4 ALIGN=MIDDLE  ALT=\"%2849-9%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "m = 10 yrs is Mark's age<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "see if that works out,<BR>\n" );
document.write( "\"The sums of their ages is equal to the age of their Father\"<BR>\n" );
document.write( "24 + 15 + 10 = 49 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );