SOLUTION: Mary is 5 times as old as her daughter Ann. 3 years ago she was 9 times as old as Ann. How old is Mary now?

Question 1088580: Mary is 5 times as old as her daughter Ann. 3 years ago she was 9 times as old as Ann. How old is Mary now?
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.

M = 5A,            (1)
M-3 = 9*(A-3).     (2)

Substitute the expression (1) for M into equation (2). You will get

5A - 3 = 9*(A-3).


Simplify and solve for A:

5A - 3 = 9A - 27,

27 - 3 = 9A - 5A,

24 = 4A  ====>  A =  = 6.


Answer.  Ann is 6 years old.  Mary is 6*5 = 30 years old.

Solved.

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
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".

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