Question

2. There are some girls in two
class-rooms A and B. If 12 girls are
sent from room A to room B, the
number of girls in both the rooms
will become equal. If 11 girls are sent
from room B to room A. The number
of girls in Room A will became double
Room B. How many girls are there in
each class-room?
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Answer 1

Answer:

Step-by-step explanation:

Let the no. of girls in class room A be x

Let the no. of girls in classroom B be y

1st condition: If 12 girls are sent from classroom A to B then the equation will be

Now the no. girls in class A is = x-12

and the no. of girls in class B is = y+12(since class B will gain 12 more girls)

Given that if 12 girls are sent from A to B then the no. of girls will become equal:

x-12=y+12

x-y=12+12

x-y=24 ----- (equation 1)

In 2nd condition it's given that if 11 girls are sent from class B to A then class A will be double of class B

Total no. of girls in class B=y

If 11 girls are removed = y-11

Total no. of girls in class A=x

Hence class A will gain 11 girls = x+11

x+11=2(y-11)

x+11=2y-22

x-2y=-11-22

x-2y=-33 -----(equation 2)

By subtract equation 2 from equation 1 we get

x-y= 24

x-2y=-33

-__+__+______(symbols get changed)

y=57

__________

By substituting y value to equation 1, we get:

x-y = 24

x-57=24

x = 24+57

x = 81

Therefore, class A contains 81 girls and class B contains 57 girls

Answer 2

Answer:

Girls in Room A = 77

Girls in Room B = 55

Step-by-step explanation:

Let number of girls in room A be x

Number of girls in room B be y

According to question,

x-11=y+11

=>x-y=22

=>y=x-22  .......(1)

Also,

x+11=2(y-11)

=>x+11=2y-22

=>2y=x+33

=>y=(x+33)/2  .......(2)

From (1) and (2), we get

x-22=(x+33)/2

=>2x-44=x+33

=>x=77

so, from (1),

y=x-22=77-22=55

Hence,

Girls in Room A = 77

Girls in Room B = 55

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