Question

x students are divided in two groups A and B in the ratio of 3 : 4. Later, 5 students
are moved from group A to group B. Express the number of students in each group
as an algebraic expression.
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Answer 1

Answer:

2:5

Step-by-step explanation:

two groups A & B in the ratio 3:4

later 5 students are moved from group A to group B

i.e (3:4)*5=15:20

(15-5):(20+5)=10:25

=2:5

Answer 2

Step-by-step explanation:

The ratio of no of students in group A and group B = 3:4

Total no.of students =x

let us consider, group A students =3y and group B as 4y as per the ratio given

we know

sum of students in A and B = total no.of students

3y+4y=x

=> y=x/7

then substitute y in group A and group B students

=> A= 3x/7 and B = 4x/7

now 5 students are moved from group A to group B

=> A= (3x/7 )-5

B= (4x/7)+5