2. There are some girls in twoclass-rooms A and B. If 12 girls aresent

1.	2. There are some girls in twoclass-rooms A and B. If 12 girls aresent from room A to room B, thenumber of girls in both the roomswill become equal. If 11 girls are sentfrom room B to room A. The numberof girls in Room A will became doubleRoom B. How many girls are there ineach class-room?ha
Answer» 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

2. There are some girls in twoclass-rooms A and B. If 12 girls aresent from room A to room B, thenumber of girls in both the roomswill become equal. If 11 girls are sentfrom room B to room A. The numberof girls in Room A will became doubleRoom B. How many girls are there ineach class-room?ha

Answer»

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