document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1176691>Question 1176691</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Tom is 10 years younger than Becky. In two years, Becky will be twice as old as Tom. How old is Tom now? </SPAN>\n" );
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document.write( "T = Tom's age right now<BR>\n" );
document.write( "B = Becky's age right now\r<BR>\n" );
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document.write( "\"Tom is 10 years younger than Becky\" means <BR>\n" );
document.write( "T = B-10<BR>\n" );
document.write( "Whatever Becky's age is, we subtract off 10, to get Tom's age.\r<BR>\n" );
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document.write( "For instance, let's say she's 37. That would mean we plug B = 37 into the equation<BR>\n" );
document.write( "T = B-10<BR>\n" );
document.write( "T = 37-10<BR>\n" );
document.write( "T = 27<BR>\n" );
document.write( "So Tom is 27<BR>\n" );
document.write( "These values may or may not be part of the answer. This is just an example.\r<BR>\n" );
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document.write( "Becky's future age in two years = B+2<BR>\n" );
document.write( "Tom's future age in two years = T+2\r<BR>\n" );
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document.write( "Based on this quote<BR>\n" );
document.write( "\"In two years, Becky will be twice as old as Tom\"<BR>\n" );
document.write( "we can form the equation<BR>\n" );
document.write( "B+2 = 2*(T+2)<BR>\n" );
document.write( "The format is <BR>\n" );
document.write( "Becky's age = 2*(Tom's age)<BR>\n" );
document.write( "but this only applies at this point in the future\r<BR>\n" );
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document.write( "What we can do from here is plug the first equation into the second one<BR>\n" );
document.write( "B+2 = 2*(T+2)<BR>\n" );
document.write( "B+2 = 2*(B-10+2) ... replace T with B-10; since T = B-10<BR>\n" );
document.write( "B+2 = 2(B-8)<BR>\n" );
document.write( "B+2 = 2B-16<BR>\n" );
document.write( "B-2B = -16-2<BR>\n" );
document.write( "-B = -18<BR>\n" );
document.write( "B = 18<BR>\n" );
document.write( "Becky is currently 18 years old.\r<BR>\n" );
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document.write( "T = B-10<BR>\n" );
document.write( "T = 18-10<BR>\n" );
document.write( "T = 8<BR>\n" );
document.write( "Tom is currently 8 years old.\r<BR>\n" );
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document.write( "Fast forward two years into the future and we have<BR>\n" );
document.write( "Becky's future age = B+2 = 18+2 = 20<BR>\n" );
document.write( "Tom's future age = T+2 = 8+2 = 10<BR>\n" );
document.write( "We can see that Becky is twice as old as Tom at this point. We've confirmed the answers.\r<BR>\n" );
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document.write( "Answer: Tom is currently 8 years old.<BR>\n" );
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