SOLUTION: If I have been working at my job for 1/4 of my life, how long will it be until I had been working in my job for 1/3 of my life? I think the answer is 1/8th of my life more but I

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Question 353889: If I have been working at my job for 1/4 of my life, how long will it be until I had been working in my job for 1/3 of my life?
I think the answer is 1/8th of my life more but I can figure out how I got this answer other than guess and check. Could you help me? Thank you
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
I would set this problem up like this:
%281%2F4%29%2B%281%2Fx%29+=+1%2F3 Solve for x. Add the fractions on the left side. The common denominator is 4x.
%28x%2F4x%29%2B%284%2F4x%29+=+1%2F3 Simplify.
%284%2Bx%29%2F4x+=+1%2F3
4%2Bx+=+4x%2F3
12%2B3x+=+4x
x+=+12
The answer is: 1%2F12 of the your life more.
Check:
1%2F4+%2B+1%2F12+=+1%2F3
3%2F12+%2B+1%2F12+=+1%2F3
4%2F12+=+1%2F3
1%2F3+=+1%2F3