The ratio of science and arts students in a college is 4 : 3. If 14 science students shift to arts, then their ratio becomes 1 : 1 . Find the total strength of science and arts students.

Let the number of students in Science = 4xThen the number of students in Arts = 3xNow, according to question :    4x - 143x + 14 = 114x - 14 = 3x + 144x - 3x = 14 + 14x = 28Number of students in Scince = 4x = 4 ×28 = 112Number of students in Arts = 3x = 3×28 = 84

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