Answer:
1 / f = 1 / o + 1 / i thin lens equation
1 / i = 1 / f - 1 / o = 1/24 - 1/36 = (36 - 24) / (36 * 24)
i = (36 * 24) / 12 = 72 cm
M = -i / o = -72 / 36 = -2
M = -I / O
O = -M * I = -2 * 6 = -12 cm
object = -2 * 6 cm high = -12 (object is inverted)
Check:
1 / 24 = 1 / 72 + 1 / 36 using top equation