Communication Systems: JEE Main 2021 Physics question

A carrier wave V_c(t) = 160 sin(2$\pi$ $\times$ 10⁶t) volts is made to vary between V_max = 200 V and V_min = 120 V by a message signal V_m(t) = A_m sin(2$\pi$ $\times$ 10³t) volts. The peak voltage A_m of the modulating signal is ___________.