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# 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.

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This is the Important question based on Linear Equations in two Variables Chapter of R.S Aggarwal book for ICSE & CBSE Board.
Question Number 25 Exercise 3E of RS Aggarwal Solution
Here are two classrooms A and B is given.
If n number of students are sent from A to B and B to a respectively the number of students in each room becomes the same and the number of students in A become double the number of student in B.
You have to find the number of Students in each room.

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1. Two number of classrooms are 2. They are A and B.
Let the number of students in A be x and number of students in B be y.
(i)
10 students are send from A to B.
⇒ x – 10 = y + 10
⇒ x – y = 20
(ii)
20 students are sent from B to A, the number of students become double.
⇒ x + 20 = 2(y – 20)
⇒ x + 20 = 2y – 40
⇒ x – 2y = -60
On solving (i) & (ii), we get
⇒ x – y = 20
⇒ x – 2y = -60
———————–
y = 80
Substitute y = 80 in (i), we get
⇒ x – y = 20
⇒ x – 80 = 20
⇒ x = 100.
Therefore:
Number of students in classroom A = 100.
Number of students in classroom B = 80.

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