Question

Classes A and B have 35 students each. If
seven girls shift from class A to class B, then the
number of girls in the classes would interchange. If
four girls shift from class B to class A, then the
number of girls in class A would be twice the original
number of girls in class B. What is the number of
boys in Class A and in Class B?​

Answer 1

Answer:

G1 + B1 = 35 ==> class A

G2 + B2 = 35 ==> class B

G1-7=G2 ==> eq 1

G2+7=G1

G2-4

G1+4=2G2 ==> eq 2

now taking difference of eq 1 and 2

G1-G2=7

G1-2G2=-4

___________

0+g2=11

G2=11 ==> num of girls in Class B

taking eq 1 and finding number of girls in class A

g1-11=7

g1=18 ===> num of girls in class A

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Answer 2

Answer:

17 and 24

Step-by-step explanation:

i) Let the number of girls in A be x and the number of girls in B be y

ii) If we shift 7 girls from A to B

Then,

x=y+7

x-y=7............(i)

iii) If we shift 4 girls from B to A

Then

x+4=y

x-y=-4............(ii)

iv) On solving eq(i) and eq(ii)

y=11 and x=18

v) Total number of students is 35

Number of girls in A is 18

Therefore number of Boys in A will be (35-18)=1

Similarly

Number of Boys in B will be 24