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.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(52782)   (Show Source): You can put this solution on YOUR website!
.
My age was 1/3 of my fathers' age 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 = .

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".


RELATED QUESTIONS

i'm older than my sister. 15 years ago her age was 1/3 of what my age is now. 10 years... (answered by stanbon,josgarithmetic)
My current age is 4 times what my sister's age was 20 years ago. I am now twice as old as (answered by josgarithmetic)
My current age is 4 times what my sister's age was 20 years ago. i am now twice as old as (answered by josgarithmetic,ikleyn)
my current age is 4 times what my sisters age was 20 years ago. i am now twice as old as... (answered by ankor@dixie-net.com)
Suppose I am father 4 years ago my daughter age was 1/2 of me now my daughter age is 30... (answered by rfer)
4 years ago my fathers age was 5 times my age.at present sum of our age is 50.what is... (answered by TimothyLamb)
4 years ago my father age was five times my age. at present the sum of our age is 50.... (answered by TimothyLamb)
Twice my age now is the same as my age twenty years from now. Find my age... (answered by stanbon)
Today my daughter is 1/3 of my age. Five years ago she was 1/4 of my age then. How... (answered by solver91311)