Soap bubbles sticking to each other

1. The problem statement, all variables and given/known data
Two soap bubbles of radii 3cm and 2cm come in contact and sticks to each other. Calculate the radius of curvature of common surface.

3. The attempt at a solution

Excess pressure inside soap bubble = 4T/R

Let the radius of common surface be R’

[itex]\dfrac{4T}{R’} = \dfrac{4T}{r_1} + \dfrac{4T}{r_2} [/itex]

But this equation does not gives the correct answer.

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