document.write( "Question 360383: I have been in my job for 1/4 of my life. I asked myself how long it would be until I had been in my job for 1/3 of my life. \r
\n" ); document.write( "\n" ); document.write( "I don't know how to set this up. I have asked this question before and got the answer of 1/12. I don't think this is correct because it is not taking into account the time added to your life.
\n" ); document.write( "EX: been working for 6 out of 24 total years. 1/12 of 24 is 2, and 8/24 is 1/3 but in the problem we need to add the 1/12 to your age also. 8/26 is not 1/3. Could someone please help me and explain how to set this problem up so that the years of work and your age increase by the same amount.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #257169 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
I have been in my job for 1/4 of my life. I asked myself how long it would be until I had been in my job for 1/3 of my life.
\n" ); document.write( "I don't know how to set this up. I have asked this question before and got the answer of 1/12. I don't think this is correct because it is not taking into account the time added to your life.
\n" ); document.write( "EX: been working for 6 out of 24 total years. 1/12 of 24 is 2, and 8/24 is 1/3 but in the problem we need to add the 1/12 to your age also. 8/26 is not 1/3. Could someone please help me and explain how to set this problem up so that the years of work and your age increase by the same amount.
\n" ); document.write( "--------------
\n" ); document.write( "j = years at job
\n" ); document.write( "a = age
\n" ); document.write( "-------
\n" ); document.write( "j/a = 1/4
\n" ); document.write( "(j+x)/(a+x) = 1/3
\n" ); document.write( "---------
\n" ); document.write( "a = 4j
\n" ); document.write( "(j+x)/(4j+x) = 1/3
\n" ); document.write( "3(j+x) = 4j+x
\n" ); document.write( "3j+3x = 4j+x
\n" ); document.write( "2x = j
\n" ); document.write( "x = j/2
\n" ); document.write( "--------
\n" ); document.write( "For your example j = 6, x = 3
\n" ); document.write( "6/24 = 1/4
\n" ); document.write( "9/27 = 1/3
\n" ); document.write( "
\n" ); document.write( "
\n" );