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There are some students in the two examination halls A and B. To make the number of students equal in each hall, 10 students are sent from A to B. But if 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 the two halls

Solution:

Consider x and y as the number of students in halls A and B.

From the question,

x - 10 = y + 10

x - y = 20--------------------(1)

(x + 20) = 2(y - 20)

x - 2y = -60------------------(2)

Now solve equations (1) and (2)

Subtracting (2) from (1),we get,

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

x - y - x + 2y = 80

y = 80.

Substitute y = 80 in (1), we get,

x - 80 = 20

x = 100.

y = 80.

Therefore, 100 students are in hall A and 80 students are in hall B.

✦ Try This: There are some students in the two examination halls A and B. To make the number of students equal in each hall, 5 students are sent from A to B. But if 10 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 the two halls

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 3

NCERT Exemplar Class 10 Maths Exercise 3.3 Problem 19

There are some students in the two examination halls A and B. To make the number of students equal in each hall, 10 students are sent from A to B. But if 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 the two halls

Summary:

There are some students in the two examination halls A and B. To make the number of students equal in each hall, 10 students are sent from A to B. But if 20 students are sent from B to A, the number of students in A becomes double the number of students in B. The number of students in the two halls are 100.

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