There are two classrooms, A and B. If 7 students are shifted from A to B, then B will have twice the number of students as A. If 3 students are sent from B to A, then both classrooms will have the same number of students. The positive difference between the number of students in the two classrooms is:
6
The correct answer is Option 2 i.e. 6.
Let the number of students in A and B be x and y, respectively
⇒ y + 7 = 2(x - 7)
⇒ y + 7 = 2x - 14
⇒ y = 2x - 21....(1)
⇒ x + 3 = y - 3
⇒ y = x + 6....(2)
equation 1 = equation 2
⇒ 2x - 21 = x + 6
⇒ x = 27, then
⇒ y = x + 6 = 33
Difference = |27 - 33| = 6
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