Question

In a school there are two sections of class 10 a and b. If I0 students are sent from a to b the number of students in each room is same . If 20 students are sent from b to a the number of students in a is double the number of students in b . Find the number of students in a and b

Answer 1

Hey!!!!!

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Let the number of students in class a be A and b be B.

Then ATQ,

=> (A - 10) = (B + 10)

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

ALSO

=> 2(B - 20) = (A + 20)

=> 2B - 40 = A + 20

=> A - 2B = -60-------(2)

Substating (2) from (1)

=> A - B - (A - 2B) = 20 - (-60)

=> A - B - A + 2B = 80

=> B = 80

thus A - 80 = 20
Thus A = 100

Thus there are 100 students in class a and 80 students in class b

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Hope this helps

Answer 2

heya !!!


here is your answer !!



according to question !!


a - 10 = 10 + b



=> a - b = 20 --------------(1)


now , according to question



a +20 = b -20



=> ( a +20 ) =2 ( b -20 )

=> a + 20 =2 b -40


=> a = 2b -60 ----------------(2)





from equation 1 and 2 we get

a - b = 20

a - 2b = -60

(- ) ( + ) = ( +)
============
0 + b = 40


b = 40 .



on putting the value of b in equation 1 we get


a -b = 20

a = 20


hence , the number of students in class A = 20

number of students in class B = 40 .


hope it helps you dear
$thanks$