Question

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.

Answer 1

Let the no of student in A be x and no of student in B be y
According to question,
X-10=y+10
=》x-y=20-----------1

2(y-20)=x+20
=》2y-x=60----------2
Adding 1 and 2 we get
2y-x+x-y=60+20
Y=80
Putting the value of y in equation 1 we get
X -80=20
X=100
Therefore , the no of student in A is 100 and B is 80

Answer 2

Answer: A=100 and B=80

Step-by-step explanation:Let the no of student in A be x and no of student in B be y

According to question,

X-10=y+10

=》x-y=20-----------1

2(y-20)=x+20

=》2y-x=60----------2

Adding 1 and 2 we get

2y-x+x-y=60+20

Y=80

Putting the value of y in equation 1 we get

X -80=20

X=100

Therefore , the no of student in A is 100 and B is 80