There are $50$ students in an auditorium, of which $2x$ are boys and $y$ are girls. After \(\l

Question

There are $50$ students in an auditorium, of which $2x$ are boys and $y$ are girls. After $\left( y-6 \right)$ boys leave the auditorium and $\left( 2x-5 \right)$ girls enter the auditorium, the probability of selecting a girl at random becomes $\frac{9}{13}$. Find the value of $x$ and of $y$.

Accepted Answer

$x=16$, $y=18$

Probability: Selecting a Student from a Group (Algebraic Form)

Probability: Selecting a Student from a Group (Algebraic Form)

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