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women takes 2 steps for every 3 steps of a man. if they both start from left as first step, how many steps did man take before both of them put their right step together

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In a garden man has to pick some flowers ans has to pass thru 3 doors. Each door has a guard. Man has to give half of the flowers he had to the guard and in return guard returns the man him one flower back. how many flower should man pick so that at the end he is left with same number of lowers he has picked? If p=n-8 , m=n+10; then in terms of p,m is ?