document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1174900>Question 1174900</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Archie is 6 years older than Betty.  In two years, Archie will be twice as old as Betty.  How old is Betty? </SPAN>\n" );
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document.write( "Edit: Made a brainfart of a typo, but it has been fixed.\r<BR>\n" );
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document.write( "A = Archie's age right now<BR>\n" );
document.write( "B = Betty's age right now<BR>\n" );
document.write( "A and B are some positive whole number.\r<BR>\n" );
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document.write( "A = B+6 since Archie is 6 years older than Betty <s>(I'm assuming at this current time)</s>\r<BR>\n" );
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document.write( "In 2 years, Archie will be A+2 years old and Betty will be B+2 years old\r<BR>\n" );
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document.write( "Since in this future date, he is twice as old as Betty's age, this means<BR>\n" );
document.write( "A+2 = 2*(B+2)\r<BR>\n" );
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document.write( "We can plug in A = B+6 and solve for B<BR>\n" );
document.write( "A+2 = 2*(B+2)<BR>\n" );
document.write( "B+6+2 = 2*(B+2)<BR>\n" );
document.write( "B+8 = 2*(B+2)<BR>\n" );
document.write( "B+8 = 2B+4<BR>\n" );
document.write( "B-2B = 4-8<BR>\n" );
document.write( "-B = -4<BR>\n" );
document.write( "B = 4\r<BR>\n" );
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document.write( "Betty is currently 4 years old. <BR>\n" );
document.write( "Archie is A = B+6 = 4+6 = 10 years old currently.\r<BR>\n" );
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document.write( "In 2 years, we have these future ages<BR>\n" );
document.write( "Archie: A+2 = 10+2 = 12<BR>\n" );
document.write( "Betty: B+2 = 4+2 = 6\r<BR>\n" );
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document.write( "Two years into the future, Archie's future age (12) is exactly twice that of Betty's future age (6). This helps us confirm the answer.\r<BR>\n" );
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document.write( "Answer: Betty is currently 4 years old.<BR>\n" );
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