Aptitude - Simplification - Discussion

Discussion Forum : Simplification - General Questions (Q.No. 2)
2.
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
Answer: Option
Explanation:

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

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

     and x + 20 = 2(y - 20)      x - 2y = -60 .... (ii)

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

The required answer A = 100.

Discussion:
75 comments Page 7 of 8.

Prakash said:   6 years ago
Could you please explain this? I am not getting it.

Prakash said:   6 years ago
Could you please explain this? I am not getting it.

Swathi hj said:   6 years ago
Why we take x-10 and y+10, can anyone tell me?
(1)

Hello said:   6 years ago
Where is Ramesh? The one who explained the previous question very simply in this same chapter.
(1)

Suresh said:   5 years ago
In step 1 how you got 100?
(1)

Pratham said:   5 years ago
Hello, can you please explain the last step i.e x=100 y=80?
(3)

Alpesh Patel said:   5 years ago
x-y=20
x=20+y ---> (1)
x-2y=-60 ---> (2)
20+y-2y=-60 --->(3)

+y-2y=-60-20
-y=-80
y=80
Sub value of y in eqn 1, we get;
x=20+80 = 100.
(11)

Sylvester said:   5 years ago
If 2A=B, Also A=2B.

A=80, B=40, in other words: A=40*2=80.
(2)

Jayashri said:   5 years ago
I disagree, if A is double the number of B.

How can 100 be the answer?

As B is 60 if we double it we get 160.
(5)

Ramesh pai said:   5 years ago
Let's c option C i.e. 100.
A exam hall ----------- B exam hall
100 ----------- 80
10 from A to B = 90 | 90.

1st condition satisfies:

Let's see the 2nd condition:
If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B.

A exam hall ----------- B exam hall
100 ----------- 80.

20from B to A = 120(100+20) | 60(80-20).

Therefore 100 is the right answer.
(5)


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