There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
A. 20
B. 80
C. 100
D. 200
E. None of these
Answer: Option C
Solution(By Examveda Team)
Let the number of students in rooms A and B be x and y respectively.Then,
x - 10 = y + 10
⇒ x - y = 20 . . . . . (i)
and
x + 20 = 2(y - 20)
⇒ x - 2y = -60 . . . . . (ii)
Solving (i) and (ii) we get:
x = 100, y = 80
∴ The required answer A = 100
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A. 20
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E. None of these
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