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

A. 100

B. 120

C. 130

D. 150

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Explanation: মনে করি, Room A-তে student সংখ্যা \('a'\) এবং Room B-তে student সংখ্যা \('b'\). Condition 1: \(a-10 = b+10 \Rightarrow b = a-20\). Condition 2: \(a+20 = 2(b-20)\). Substitute \(b=a-20\) into Condition 2: \(a+20 = 2((a-20)-20) \Rightarrow a+20 = 2(a-40) \Rightarrow a+20 = 2a-80 \Rightarrow a = 100\).

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