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.
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.
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.
Answer by Alan3354(69443)   (Show Source):
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.
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.
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.
--------------
j = years at job
a = age
-------
j/a = 1/4
(j+x)/(a+x) = 1/3
---------
a = 4j
(j+x)/(4j+x) = 1/3
3(j+x) = 4j+x
3j+3x = 4j+x
2x = j
x = j/2
--------
For your example j = 6, x = 3
6/24 = 1/4
9/27 = 1/3
|
|
|
