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13. Ranjan, on her birthday, distributed 540oranges equally among the students. If therewould have been 30 students more, each wouldhave received 3 oranges less. Find the numberof students. |
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Answer» Let number of students be xThen number of oranges each student get = 540/x If there are 30 students moreThen,Total number of students= x + 30Number of oranges each student get = 540/x + 30 Hence,540/(x + 30) = 540/x - 3540[x - x - 30] = - 3x(x + 30)180*30 = x^2 + 30xx^2 + 30x - 5400 = 0x^2 + 90x - 60x - 5400 = 0x(x + 90) - 60(x + 90) = 0(x - 60)(x + 90) = 0x = 60, - 90 Negative value not possible Therefore, Number of students are 60 |
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