Maths mechanics questionn?

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cesc0836

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Alice and betty stand facing each other on an icy playground, raise their forearms and place the palms of their hands against each other. They have a mass 25kg and 35kg respectively, and the coefficients of friction between their shoes and the ground are 0.2 and 0.15. They push against each other with a steadily increasing force. How is equilibrium broken?

I think the answer is that alice starts to slide back when force is 49N, but dunno how get it. Full working would help ty
 
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