Communication Systems: JEE Main 2021 Physics question

In amplitude modulation, the message signal V_m(t) = 10 sin (2$\pi$ $\times$ 10⁵t) volts and Carrier signal V_C(t) = 20 sin(2$\pi$ $\times$ 10⁷ t) volts The modulated signal now contains the message signal with lower side band and upper side band frequency, therefore the bandwidth of modulated signal is $\alpha$ kHz. The value of $\alpha$ is :