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Q.

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

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a

100, 80

b

80, 100

c

60, 40

d

40, 60

answer is A.

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Detailed Solution

Concept: Assume that number of students in room A and room B are p and q respectively.
Condition 1:
10 candidates sent from A to B;

, then p and q are equal.
Question Image

Question Image

Condition 2:

But

from condition 1.
Substituting the values:
Question Image

Question Image

Then,

Question Image

Hence, the correct answer is option 1.

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