There are two examination rooms A and B. If $10$ students are sent from A to B, then the numbers of students in the rooms become equal. If $20$ students 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

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80

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100

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200

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Solution

The correct option is C $100$
$l e t t h e n u m b e r o f s t u d e n t s i n r o o m A b e x a n d i n r o o m B b e y . (x - 10) = y + 10 o r x - y = 20 \to (1) (x + 20) = 2 (y - 20) o r x = 2 y - 40 - 20 x = 2 y - 60 o r 20 + y = 2 y - 60 ∴ y = 80 t h e n x = y + 20 = 100$

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Similar questions

There are 2 examination rooms A and B . If 10 students 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 , then the number of students in A is double the number of students in B. The number of students in room A is ?

Q. There are two examination rooms

A

and

B

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10

candidates are sent from

A

B

, the number of students in each room is the same. If

20

candidates are sent from

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A

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Question 80.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:

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:

32. 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:

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There are two examination rooms A and B. If 10students are sent from A to B, then the numbers of students in the rooms become equal. If 20 students 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

The correct option is C 100letthenumberofstudentsinroomAbexandinroomBbey.(x−10)=y+10orx−y=20→(1)(x+20)=2(y−20)orx=2y−40−20x=2y−60or20+y=2y−60∴y=80thenx=y+20=100

There are two examination rooms A and B. If $10$ students are sent from A to B, then the numbers of students in the rooms become equal. If $20$ students 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

The correct option is C $100$
$l e t t h e n u m b e r o f s t u d e n t s i n r o o m A b e x a n d i n r o o m B b e y . (x - 10) = y + 10 o r x - y = 20 \to (1) (x + 20) = 2 (y - 20) o r x = 2 y - 40 - 20 x = 2 y - 60 o r 20 + y = 2 y - 60 ∴ y = 80 t h e n x = y + 20 = 100$