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 1

Answer:

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Answer 2

Number of students in Hall A = 80

Number of students in Hall B = 100

Step-by-step explanation:

Let x be the number of students in Hall A and Y be the number of students in Hall B.

Given:

x - 10 = y + 10

x - y = 20 -------------(1)

(x + 20) = 2(y - 20)

x - 2y = -60 ----------(2)

Subtracting (2) from (1), we get: y = 80

Therefore y = 80

Substituting y in equation 1, we get x -80 = 20

Therefore x = 100

Hence solved. x = 100, y = 80

Number of students in Hall A = 80

Number of students in Hall B = 100