Exams › IBPS PO › Quantitative Aptitude

There are two examination 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 in B. The number of students in room A is:

1. 20
2. 80
3. 100
4. 200

Correct answer: 100

Solution

Let the initial numbers be \(A\) and \(B\). From the first condition, \(A-10=B+10\Rightarrow A-B=20\). From the second, \(A+20=2(B-20)\Rightarrow A-2B=-60\). Solving gives \(B=80\) and \(A=100\).

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