ella gave hanna as many pesos as hanna had. hanna then gave ella as many pesos as ella had. at this point each have 36 pesos. how much did each have before any exchange was made?
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assume girl1 start with x & girl 2 start with y... step 2: giv girl 2 wot her hav at step 1...girl1 hav x-y & girl2 hav 2y... step 3: giv girl 1 wot her hav at step 2...girl 1 hav 2(x-y) & girl 2 hav 2y-(x-y)... 2(x-y)=36=2y-(x-y)=3y-x=36... 2x-2y=36, so x-y=18, y=x-18... 3y-x=36 or 3(x-18)-x=36, 3x-x -54=36... 2x=54+36=90... x=45... y=x-18=27...
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