Question

Students of a class are made to stand in rows if one students is extra in a row there would be 2 rows less if one student is less in a row then there would be 3 more rows... find the number of students in a class

Answer 1

Answer:

Total number of students= 60

Step-by-step explanation:

Let number of rows is x and number of students is y in a row.

Then total number of students = xy

A/C to question,

(x - 2)(y + 1) = xy

⇒xy + x - 2y - 2 = xy

⇒x - 2y = 2 -------(1)

Again, (x + 3)(y - 1) = xy

⇒xy - x + 3y - 3= xy

⇒ -x + 3y = 3 -------(1)

Solve equations (1) and (2),

y = 5 and put it equation (1)

x = 12

Hence, total number of students = xy = 12 × 5 = 60

Answer 2

Answer:

Step-by-step explanation:

Let number of rows is x and number of students is y in a row.

Then total number of students = xy

A/C to question,

(x - 2)(y + 1) = xy

⇒xy + x - 2y - 2 = xy

⇒x - 2y = 2 -------(1)

Again, (x + 3)(y - 1) = xy

⇒xy - x + 3y - 3= xy

⇒ -x + 3y = 3 -------(1)

Solve equations (1) and (2),

y = 5 and put it equation (1)

x = 12

Hence, total number of students = xy = 12 × 5 = 60

Read more on Brainly.in - https://brainly.in/question/8597178#readmore