Answer
$P=14.0625 W$
or $P=23.44W$
Work Step by Step
First calculate the Resistance of the first bulb using a power equation
$P = V^2 /R$
$60 = 100^2 /R$
$R=166.667 Ohm$
Now do the same for the other bulb
$100 = 100^2 /R$
$R=100 Ohm$
Calculate equivalent series resistance and find total current
$I = 100/266.667$
$I=0.375A$
now use another power equation in terms of current and resistance to find power
$P = I^2 *R$
for the first bulb
$P = 0.375^2 *100 = 14.0625W$
next bulb
$P = 0.375^2 * 166.667 = 23.4375W$
