SOLUTION: Tanya is 12 years older than Leah. Three years ago, Tanya was five times as old as Leah. How old is Leah?

Question 1113644: Tanya is 12 years older than Leah. Three years ago, Tanya was five times as old as Leah. How old is Leah?
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.

T = L + 12        (1)
T-3 = 5*(L-3)     (2)


Substitute (1) into eq(2). You will get


(L + 12) - 3 = 5*(L-3)

L + 9 = 5L - 15

9 + 15 = 5L - L


24 = 4L.


L = 24/4 = 6.


Answer.  Leah is 6 years old.

------------
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

to your archive and use it when it is needed.

RELATED QUESTIONS
the sum of leah's and brandon's ages is 34. five years ago leah was 3 times as old as... (answered by stanbon)

The sum of the ages of Leah and Angel is 37. Three years ago, the difference of their... (answered by Edwin McCravy)

If Leah is 6 years older than Sue,and John is 5 years older than Leah, and the total of... (answered by jojo14344)

If leah is 6 years older than sue, and jhon is 5 years older than leah and the total of... (answered by solver91311)

Althea is 5 years older than Leah, Leah is 4 is older than Jessica. The sum of their ages (answered by ikleyn)

IF LEAH ID 6 YEARS OLD THAN HER SISTER, SUE, ADN JOHN IS 5 YEARS OLDER THAN LEAH, AND THE (answered by edjones)

If Leah is 6 years older than sue and john is 5 years older than Leah and the total of... (answered by stanbon,Stitch)

If Leah is 6 years older than Sue, and John is 5 years older than Leah, and the total of... (answered by scott8148)