Question

6. There are some students in the two examination halls A and B. To make the numbers 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.

( Ans: 100, 80 )

Class 10

#No Spams

Answer 1

80 in the number of students in the two Hall

Answer 2

Hey!!!!

Good Evening

Difficulty Level : Average

Chances of being asked in Board : 70%

_____________________

Let the students in Hall A be A and that in Hall B be B

ATQ,

Case 1 , A - 10 = B + 10

=> A - B = 20

=> A = B + 20 ------(1)

Case 2, A + 20 = 2(B - 20)

=> A + 20 = 2B - 40

Using (1) in above equation

=> B + 20 + 20 = 2B - 40

=> B = 80 <<<<<< Answer

Using B in (1)

=> A = 100 <<<<<<<<< Answer

Thus there are 100 students in Hall A and 80 in Hall B

___________________

Hope this helps ✌️

Good Night