Communication Systems

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 :