The values of resistance r_1=33.3 ohm and r_2 = 41.7 ohm
The total resistance in series is the sum of the value of the resistances. Applying Ohm's law,
.....(1)
When the resistor r_1 is connected, the current increases by 0.2 A
Apply Ohm's law for the resistance r_1.
......(2)
When the resistor r_2 is connected, the current increases by 0.13 A.
Apply Ohm's law for the resistance r_2.
......(3)
From equations (1) and (2)
Similarly from equations (1) and (3), it can be seen that
From equations (4) and (5),
I=0.16 A
Substituting in equations (2) and (3)