Question

16.
There are two examination halls, P and Q. if 10 students are sent from P to Q, then the number of
students in each room is same. If 20 students are sent from Q to P, then the number of students in P
is double of that in Q. the number of students in P and Q respectively are:​

Answer 1

Answer:

40 and 30

Step-by-step explanation:

please mark me as brainlist

Answer 2

Let number of students in examination halls P and Q is x and y, respectively.

Then, as per the first condition,

x - 10 = y + 10

= x - y = 20 ...(i)

As per the second condition,

x+20=2(y−20)

=> x + 20 = 2y - 40

=> x - 2y = -60 ...(ii)

On subtracting Eq. (ii) from Eq. (i), we get

-y + 2y = 20 + 60

=> y = 80

Putting the value of y in Eq. (i), we get

x - 80 = 20 => x =100

Hence, number of students in examination halls P and Q is 100 and 80, respectively.