SOLUTION: Princess is two thirds as old as kisha. In seven years, princess will be three fourths as old as kisha.how old are they now ?

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Question 1020238: Princess is two thirds as old as kisha. In seven years, princess will be three fourths as old as kisha.how old are they now ?
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Princes is P years old now
Kisha is K years old now

Princess is two thirds as old as kisha.
P%22%22=%22%22expr%282%2F3%29K

In seven years,
In 7 years Princess will be P+7,
and Kisha will be K+7

princess will be three fourths as old as kisha.
P%2B7%22%22=%22%22expr%282%2F3%29%28K%2B7%29

We have a system of two equations and two unknowns:

P%22%22=%22%22expr%282%2F3%29K
P%2B7%22%22=%22%22expr%283%2F4%29%28K%2B7%29

Simplify each by clearing fractions.
Multiply the first by 3 and the second by 4


3P%22%22=%22%222K
4P%2B28%22%22=%22%223%28K%2B7%29

You finish. Princess is a teenager. 
Kisha has just become an adult.

Edwin