Newton’s feeding problem

A farmer found that three of his cows could live for two weeks on the grass which stood on two acres of his pasture,plus the grass which grew on this area during the two weeks.He further found out that two of his cows could live for four weeks on the grass that stood on two acres of his pasture plus that which grew on them during this time. How many cows can this farmer feed for six weeks with the grass standing on six acres of his pasture, including whatever grass grows on that area during the time, provided that all of the cows require the same quantity of herbage and that the grass grows at the same rate all over the farm?

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