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 5 of 8.

Selvi said:   1 decade ago
Please explain me, how to solve (i) & (ii) and how get x=100 & y=80?

Ramesh.Mariyada said:   9 years ago
Exactly I have the same doubt as same as @Nandhakumar.

Can anyone help us?

Manish Kumar said:   1 decade ago
I couldn't get how we solve both equation please make it clear by multiply.

Gurpreet said:   1 decade ago
I didn't understand Solving (i) and (ii) we get: x = 100, why = 80. How?

Naidu said:   8 years ago
Why we have to change the signs could anyone please explain?

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

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

Tuan Ossen said:   8 years ago
I don't understand, Please explain me with proper guidance.

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

Basheerbi said:   1 decade ago
I can't understand the prasu explanation tell me clearly.

Idhaa said:   10 years ago
2 has come because there are two rooms in the question.


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