There are two classrooms A and B. If 10 students are sent from A to B, the number of students in each room becomes the same. If 20 students are sent from B to A, the number of students in A becomes double the number of students in B. Find the number of students in each room.

Question

Philoid · Accepted Answer

Let initially the number of students in classroom A and B be x and y respectively.

According to question -

x - 10 = y + 10

⇒ x - y = 20.....(1)

and,

x + 20 = 2(y - 20)

⇒ x - 2y = - 60.....(2)

Subtracting equation (2) from (1), we get -

y = 80

substitute the value of y in equation (1), we get -

x = 100

Thus, No. of students in classroom A is 100 and in B is 80.