The currents in two resistors in a circuit are shown in the figure.

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The currents in two resistors in a circuit are shown in the figure.

Here's the URL to the picture given:

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R and the 200 Ω resistor are in parallel, so they have the same potential difference = volts

V = I * R

V = 1.5 * 200 = 300 Volts

The sum of the current through R and the 200 Ω resistor = 2.5 amps

Current through R = 2.5 – 1.5 = 1 amp

Volt for R = 300 Volts

300 = 1 * R

R = 300 Ω

Check:

Equivalent resistance = 1 ÷ (1/200 + 1/300) = 120 Ω

Total current = 2.5 amp

Total voltage = 2.5 * 120 = 300 Volts

OK