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There are two examination halls A and B. If 12 pupils are sent from A to B, the number of pupils in each room becomes the same. If 11 pupils are sent from room B to room A, then the number of pupils in room A is double their number in B. Find the number of pupils in each room.

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81, 57

55, 89

77, 63

60, 70

answer is A.

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Detailed Solution

Let us assume room A and room B are x and y
Number of pupils in room A and room B are

the number of pupils in both rooms are

Number of pupils in room B =

Number of pupils in room A =

that number of pupils in room A is double the number in room B

from equations (1) and (2),

Let us substitute this value in the equation (1).

Hence the Ans is 81 and 57.
So, option 1 is correct.

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