SOLUTION: My age was 1/3 of my fathers' age before 18 years ago. Now my fathers' age is twice as my age. What is my age now?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: My age was 1/3 of my fathers' age before 18 years ago. Now my fathers' age is twice as my age. What is my age now?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1065484: My age was 1/3 of my fathers' age before 18 years ago. Now my fathers' age is twice as my age. What is my age now?

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
My age was 1/3 of my fathers' age highlight%28cross%28before%29%29 18 years ago. Now my fathers' age is twice as my age. What is my age now?
~~~~~~~~~~~~~~~~~~~~~~~~

For me, this formulation does not seem to be perfect. Much better is this:

     18 years ago, my age was 1/3 of my fathers' age. Now my fathers' age is twice as my age. What is my age now?

The solution below corresponds to this formulation.

Let M be my age now. 
Then my father's present age is 2M.

18 years ago

M - 18 = %281%2F3%29%2A%282M-18%29.

To solve it, multiply both sides by 3. You will get

3M - 54 = 2M - 18,

3M - 2M = 54 - 18,

M = 36.

Answer. My present age is 36 years.

There is a bunch of lessons on age word problems
    - Age problems and their solutions
    - A fresh formulation of a traditional age problem
    - Really intricate age word problem
    - Selected age word problems from the archive
    - Age problem for the day of April, 1
    - OVERVIEW of lessons on age problems
in this site.

Read them and become an expert in solving age problems.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Age word problems".