A very annoying current electricity problem

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Homework Statement

A battery has an emf=6V. The battery is connected in series with an ammeter and a voltmeter. If a certain resistor is connected in parallel with the voltmeter reading decreases by a factor of 3, and the ammeter reading increases by a factor of 3. What is the INITIAL READING V of the voltmeter? All elements of the circuit have unknown internal resistance. Assume the battery doesn't have any internal resistance

Homework Equations

R=VI, V=(r/R)*E,

The Attempt at a Solution

I keep on going around a circle with this problem. When I start with something I ultimately get nothing but whatever I found earlier. Every time the V(initial) cancels out. May be there is some maths trick. I don't know.

 

[ehild]

Draw the circuit diagrams and write out the expressions for the current and voltage readings before and after connecting the resistor. Show your work.

ehild