How would I simulate a circuit like this in LTSpice?
First, see my comment about the advisability of doing simple circuit analysis like this in a simulator.  This just isn't something to simulate -- it's something to do by hand.
Second, choose a radian frequency -- \$\omega = 1\mathrm{\frac{radian}{second}}\$ will be convenient.  That works out to \$f = \frac{1}{2 \pi}\mathrm{Hz}\$.  For a capacitor with impedance \$-j X_c\$, \$C = \frac{1}{\omega X_c}\$.  For an inductor with impedance \$j X_L\$, \$L = \frac{X_L}{\omega}\$.  Substitute in those values, simulate the circuit in AC, and get your answers.