document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=983718>Question 983718</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if ratio of age of A:B is 6:5and the age of each C and D is 9/10 times that of B.age of F is less than A but greater tha B.the ratio of age of b and E is 2:3 also age of A is 3years less than E.what is the ratio of age of A and F,if all ages are in integer? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #604681 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=604681\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write an equation for each statement<BR>\n" );
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document.write( "if ratio of age of A:B is 6:5<BR>\n" );
document.write( "let x = the first multiplier<BR>\n" );
document.write( "then<BR>\n" );
document.write( "6x = A's age<BR>\n" );
document.write( "5x = B's age<BR>\n" );
document.write( "and the age of each C and D is 9/10 times that of B.<BR>\n" );
document.write( "C =.9B<BR>\n" );
document.write( "D = .9B<BR>\n" );
document.write( "age of F is less than A but greater than B.<BR>\n" );
document.write( "F < A<BR>\n" );
document.write( "F > B<BR>\n" );
document.write( "the ratio of age of B and E is 2:3<BR>\n" );
document.write( "let y = the 2nd multiplier<BR>\n" );
document.write( "2y = B's age<BR>\n" );
document.write( "3y = E's age<BR>\n" );
document.write( " also age of A is 3years less than E.<BR>\n" );
document.write( "A = E-3<BR>\n" );
document.write( "what is the ratio of age of A and F, if all ages are in integer?<BR>\n" );
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document.write( "We can reason this out, assume the first multiplier is 2, then<BR>\n" );
document.write( "6(2) = 12 yrs is A's age<BR>\n" );
document.write( "5(2) = 10 yrs is B's age<BR>\n" );
document.write( "F < A & F > B therefore<BR>\n" );
document.write( "F = 11 yrs old<BR>\n" );
document.write( "The A:F ratio then 12:11<BR>\n" );
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document.write( "We don't need the other ages but we can find them easily<BR>\n" );
document.write( "C & D = .9(10) = 9 yrs old<BR>\n" );
document.write( "2y = 10 (B's age)<BR>\n" );
document.write( "y = 5 is the 2nd multiplier<BR>\n" );
document.write( "E = 3(5) = 15 yrs is E's age<BR>\n" );
document.write( "which agrees with the statement<BR>\n" );
document.write( "\"age of A is 3years less than E.\"<BR>\n" );
document.write( "A = 12 yrs, E = 15 yrs<BR>\n" );
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document.write( "Summarize: A = 12; B = 10; C = 9; D = 9; E = 15; F = 11 </SPAN>\n" );
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