document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1140062>Question 1140062</A>: <I><SPAN STYLE=\"word-break: break-all;\"> seth's age is 1/4 of his friend becky now,3 yrs to come the age of seth will be 1/3 of becky.find becky's age after 3 years.(with solution plz) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #760519 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=760519\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> THE UNEXPECTED WAY:<BR>\n" );
document.write( "In 3 years Becky's age will be a multiple of 3 (because Seth's age will be 1/3 of that). That means that right now Becky's age is also a multiple of 3.<BR>\n" );
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document.write( "Right now, Becky's age is also a multiple of 4 (because Seth's age is 1/4 of that).<BR>\n" );
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document.write( "As Becky's age is a multiple of 3, and a multiple of 4, and 3 and 4 are relatively prime (they do not have any common factors), Becky's age is a multiple of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A4=12 ALIGN=MIDDLE  ALT=\"3%2A4=12\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "Could Becky be 12 right now? If she were 12, Seth would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29%2A12=3 ALIGN=MIDDLE  ALT=\"%281%2F4%29%2A12=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and in 3 years Becky and Seth would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2B3=5 ALIGN=MIDDLE  ALT=\"12%2B3=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2B3=6 ALIGN=MIDDLE  ALT=\"3%2B3=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > respectively. However, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" > is not <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29%2A15=5 ALIGN=MIDDLE  ALT=\"%281%2F3%29%2A15=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > , so Becky is not 12 now.<BR>\n" );
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document.write( "Could Becky be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A12=24 ALIGN=MIDDLE  ALT=\"2%2A12=24\"   DISABLED_style= \"max-width:90%; height:auto;\" > right now? If she were 24, Seth would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29%2A24=6 ALIGN=MIDDLE  ALT=\"%281%2F4%29%2A24=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and in 3 years Becky and Seth would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2B3=27 ALIGN=MIDDLE  ALT=\"24%2B3=27\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2B3=9 ALIGN=MIDDLE  ALT=\"6%2B3=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > , which is indeed <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27 ALIGN=MIDDLE  ALT=\"27\"   DISABLED_style= \"max-width:90%; height:auto;\" > . So Becky is 24 now, and Becky's age after 3 years will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2827%29 ALIGN=MIDDLE  ALT=\"highlight%2827%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
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document.write( "THE EXPECTED ALGEBRA SOLUTION:<BR>\n" );
document.write( "We need to define a variable (or two), representing the age(s) of one or both characters in the story, either now or 3 years from now..<BR>\n" );
document.write( "One way to do it:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= Becky's age 3 years from now.<BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-3 ALIGN=MIDDLE  ALT=\"x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >= Becky's age now;<BR>\n" );
document.write( "Seth's age now is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29%28x-3%29 ALIGN=MIDDLE  ALT=\"%281%2F4%29%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and in 3 years Seth will be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29%28x-3%29%2B3=%281%2F3%29x ALIGN=MIDDLE  ALT=\"%281%2F4%29%28x-3%29%2B3=%281%2F3%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "To solve that last equation, we multiply both sides times 12 to get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%28%281%2F4%29%28x-3%29%2B3%29=12%28%281%2F3%29x%29 ALIGN=MIDDLE  ALT=\"12%28%281%2F4%29%28x-3%29%2B3%29=12%28%281%2F3%29x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "We simplify that, in as many steps as you want.<BR>\n" );
document.write( "In many steps,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%28%281%2F4%29%28x-3%29%2B3%29=12%28%281%2F3%29x%29 ALIGN=MIDDLE  ALT=\"12%28%281%2F4%29%28x-3%29%2B3%29=12%28%281%2F3%29x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%28%281%2F4%29%28x-3%29%29%2B12%2A3=%2812%281%2F3%29%29x ALIGN=MIDDLE  ALT=\"12%28%281%2F4%29%28x-3%29%29%2B12%2A3=%2812%281%2F3%29%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812%281%2F4%29%29%28x-3%29%2B36=4x ALIGN=MIDDLE  ALT=\"%2812%281%2F4%29%29%28x-3%29%2B36=4x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x-3%29%2B36=4x ALIGN=MIDDLE  ALT=\"3%28x-3%29%2B36=4x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-9%2B36=4x ALIGN=MIDDLE  ALT=\"3x-9%2B36=4x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36-9=4x-3x ALIGN=MIDDLE  ALT=\"36-9=4x-3x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2827=x%29 ALIGN=MIDDLE  ALT=\"highlight%2827=x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
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