Let the number of boys = 3x and girls = 2x. 3x + 2x = 600; 5x = 600; x = 120. Number of boys = 3 * 120 = 360, number of girls = 2 * 120 = 240. After 40 new boys join: New number of boys = 360 + 40 = 400. New ratio = 400:240 = 5:3.
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