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