Question

there are some students in the two wxamination hall AQ and B. to make the number of students equal in each hall, 10 students are sent from A and B. but if 20 students are sent from B and A, the number of students in A becomes double the number of students in B. find the number of stuents in the two halls.

Answer 1

let students in hall A be x and in hall B be y .
ATQ
x-10=y+10
x-y=20 (eq.1)
and
x+20=2(y-20)
=x+20=2y-40
=×+60=2y
=x=2y-60 (eq.2)

putting value of x from equation 2 in equation.1
2y-60-y=20
y=80

x=160-60
100.


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