This is the basic and conceptual question from linear equations in two variables in which we have to find the number of students in each room if 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.
Kindly give me a detailed solution of this question
RS Aggarwal, Class 10, chapter 3E, question no 25
let the number of students in room A be x and in room B be y.(x−10)=y+10
or x−y=20→(1)
(x+20)=2(y−20)
or x=2y−40−20
x=2y−60
or 20+y=2y−60
∴y=80
then x=y+20=100