will I still lose weight on 1200 calories a day even though

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I was just wondering if gaining/losing weight is matter of maths , i.e. amount of calories you consume versus amount of calories you burn, does it mean if i steadily consume no more than 1200 calories a day and most of them come from carbs, I will still be able to lose weight like 10 pounds a months (obviously with some additional moderate exercsie)?