Problem 3.173

An ammeter and a voltmeter are connected in series to a battery with an emf \(\mathscr{E}=6.0 \mathrm{~V}\). When a certain resistance is connected in parallel with the voltmeter, the readings of the latter decrease \(\eta=2.0\) times, whereas the readings of the ammeter increase the same number of times. Find the voltmeter readings after the connection of the resistance.