SOLUTION: Please help me solve this problem: A teacher is 15 years older than her student. In 15 years, the ratio of their aages will be 3:2. Find their present ages.

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Question 124596: Please help me solve this problem:
A teacher is 15 years older than her student.
In 15 years, the ratio of their aages will be 3:2.
Find their present ages.
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
A teacher is 15 years older than her student, who is
15, and thus the teacher is 30. In 15 years, the
ratio of their ages will be 3:2, because the teacher will be
45 and the student will be 30, and the fraction
45%2F30 equals to the fraction 3%2F2 .

How'd I get that?  By using the same words as I did above,
only using X for the student's age instead of 15.

A teacher is 15 years older than her student, who is X,
and thus the teacher is X%2B15. In 15 years, the ratio of
their ages will be 3:2, because the teacher will be
%28X%2B15%29%2B15 and the student will be X%2B15, and the
fraction %28%28X%2B15%29%2B15%29%2F%28X%2B15%29 equals to the fraction 3%2F2.

So the equation is:

%28%28X%2B15%29%2B15%29%2F%28X%2B15%29 = 3%2F2

Solve that and get X = 15, and so the teacher is 30.

Edwin