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
Explanation:
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 and y = 80.
∴ Required answer A = 100
Hence, option (c).
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