Let Rahul's marks in Mathematics = x

and in Hindi = y

According to the question,

\( \Large \frac{1}{3}x - \frac{1}{2}y = 30 \)

=> \( \Large 2x - 3y = 180 \) ...(i)

Also, given

x + y = 480 ...(ii)

By solving Eqs. (i) and (ii), we get

x = 324

and y = 156