CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

The students of a class are made to stand in complete rows. If one student is extra in a row there would be 2 rows less and if one student is less in a row there would be 3 more rows. Find the no. of students in the class.


Solution

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

Like if satisfied

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
QuestionImage
QuestionImage
View More...


People also searched for
QuestionImage
QuestionImage
View More...



footer-image