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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:

20
80
100
200
Explanation:

Let the number of students in rooms A and B be $ x $ and $ y $ respectively.

Then, $ x $ - 10 = $y $ + 10   $\Rightarrow$   $ x $ - $ y $ = 20 .... (i)

     and $ x $ + 20 = 2$\left( y - 20\right)$   $\Rightarrow$   $ x $ - 2$ y $ = -60 .... (ii)

Solving (i) and (ii) we get: $ x $ = 100 , $ y $ = 80.

$\therefore$ The required answer A = 100.

Additional Questions

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Answer

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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:

Answer
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