document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=665671>Question 665671</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am 52,my granddaughter is 14. I was 38 when she was born (52-14=38). At some point I will be 3 times her age at that moment. Write an equation which models how old in years each of us will be when I am three times as old as my granddaughter. Explain the reasoning which helped me develop my answer.\r<BR>\n" );
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document.write( "I have started with x + 38 = (3 X 14) after this I am stuck, and after reading numerous sections in my text book, I am confusing myself. This is for an online course, so there is no vocal interaction between Instructor and pupil.\r<BR>\n" );
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document.write( "Any ideas will greatly appreciated.<BR>\n" );
document.write( "Yvonne </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #414000 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=414000\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solution has nothing to do with 38. Read your equation. Does it make sense? No<BR>\n" );
document.write( "Let x = number of years from NOW<BR>\n" );
document.write( "Then grandfather, g, will be 52+x years old and the granddaughter, d, will be 14+x years old. therefore, we have, x years from now<BR>\n" );
document.write( "(1) 52+x = 3*(14+x) or<BR>\n" );
document.write( "(2) 52+x = 42 + 3x,<BR>\n" );
document.write( "Now subtract 42 from each side of (2)and get<BR>\n" );
document.write( "(2a) 52 - 42 + x = 42 - 42 + 3x or<BR>\n" );
document.write( "(2b) 10 + x = 0  + 3x or<BR>\n" );
document.write( "(2c) 10 + x = 3x<BR>\n" );
document.write( "Now subtract x from each side of (2c) and get<BR>\n" );
document.write( "(2d) 10 + x - x = 3x - x or<BR>\n" );
document.write( "(2e) 10 + 0 = 2x or<BR>\n" );
document.write( "(2f) 10 = 2x which is the same as<BR>\n" );
document.write( "(3) 2x = 10 or<BR>\n" );
document.write( "(4) x = 5<BR>\n" );
document.write( "Is this right? Use (1)<BR>\n" );
document.write( "Is (52+5 = 3*(14+5))?<BR>\n" );
document.write( "Is (57 = 3*19)?<BR>\n" );
document.write( "Is (57 = 57)? Yes<BR>\n" );
document.write( "Answer: The desired equation is (1). In 5 years grandfather will be 57 and his granddaughter will be 19. He will be three times as old as her.<BR>\n" );
document.write( "PS see the new steps for (2) to (3).<BR>\n" );
document.write( "PPS your just a baby, I'm 81, got my PhD when I was 43, so hang in there, you have more common sense than any of your young classmates. Good luck on your new career. </SPAN>\n" );
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