1.

In a class, one-third of students had gone to watch drima Twice the squane routofthestudentshadgonetowatchnagic show and nemaining 12 students had gone to watch Soothall masch. Find the total number of stadests in the

Answer»

Let the total number of students in Class be XThus according to questionStudent went to drama = A = X/3Student went to magic show =B =2 root XStudent went to football = C = 12Thus

X= X/3 + 2 root X + 122X/3 = 2 root X + 122 root X= 2X/3 - 12Squaring both sides4X = 4X^2/9 + 144 - 48X/34X^2/9 - 60X/3 + 144 = 04X^2/9 - 20X + 144 = 04X^2 - 180X + 1296 = 0X^2 - 45X + 324 = 0X^2 - 36X - 9X + 324 = 0X(X - 36) - 9 (X-36) = 0X = 36thus total Students = 36



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