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Question -

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



Answer -

Let A examination room has students = x
and B room has students = y
According to the given conditions,
x – 10 = y + 10
=> x – y = 10 + 10
=> x – y = 20 ….(i)
and x + 20 = 2 (y – 20)
=> x + 20 = 2y – 40
=> x – 2y = – 40 – 20 = – 60 ….(ii)
Subtracting (ii) from (i), y = 80
Substituting the value of y in (i)
x – 80 = 20
=> x = 20 + 80 = 100
In examination room A, the students are = 100
and in B room = 80

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