There are two classrooms a and b containing students

Asked by admin @ 20/08/2021 in Math viewed by 267 People

there are two classrooms A and B .If 10 students are sent from A to B , the number of students in each room becomes the same.lf 20 students are sent from B to A , the number of students in A becomes double the number of students in B . Find the number of students in each row .

Answered by admin @ 20/08/2021

Answer:

100,80

Step-by-step explanation:

Two number of classrooms are 2. They are A and B.

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

(i)

10 students are send from A to B.

⇒ x - 10 = y + 10

⇒ x - y = 20

(ii)

20 students are sent from B to A, the number of students become double.

⇒ x + 20 = 2(y - 20)

⇒ x + 20 = 2y - 40

⇒ x - 2y = -60

On solving (i) & (ii), we get

⇒ x - y = 20

⇒ x - 2y = -60

-----------------------

y = 80

Substitute y = 80 in (i), we get

⇒ x - y = 20

⇒ x - 80 = 20

⇒ x = 100.

Therefore:

Number of students in classroom A = 100.

Number of students in classroom B = 80.

Hope it helps!

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