SOLUTION: Christina's age is four years less than twice theodoras age. In two years, Theodoras age will be three-quarters of christinas age. How old is each girl now?

Question 1098427: Christina's age is four years less than twice theodoras age. In two years, Theodoras age will be three-quarters of christinas age. How old is each girl now?
Answer by ikleyn(52794) (Show Source): You can put this solution on YOUR website!
.

The condition says:

C = 2T - 4,           (1)

T + 2 = .     (2)


Substitute (replace) "C" in eq(2) by 2T-4, based on eq(1). You will get

T + 2 = 

and simplify:

4*(T+2) = 3*(2T-2)  ====>  4T + 8 = 6T - 6  ====>  8 + 6 = 6T - 4T  ====>  2T = 14  ====> T = 7.


Answer.  T is 7 years now.  The C's age is 10 years.

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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 problems for mental solution
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".

Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

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