All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
Class 10 Exam  >  Class 10 Questions  >  Students of a class are made to stand in rows... Start Learning for Free
SaveJoin the Discussion on the App
Students of a class are made to stand in rows. If 4 students are extra in a row, there would be 2 rows less .If 4 students are less in a row , there would be 4 more rows . Find the number of students in the class .?
Clear all your Class 10 doubts with EduRev
Most Upvoted Answer
Students of a class are made to stand in rows. If 4 students are extra...
Community Answer
Students of a class are made to stand in rows. If 4 students are extra...
Problem Statement

Students of a class are made to stand in rows. If 4 students are extra in a row, there would be 2 rows less .If 4 students are less in a row , there would be 4 more rows . Find the number of students in the class.


Step-by-Step Solution


  1. Let's assume there are n students in the class.

  2. Let's assume there are m rows in the class.

  3. From the given information, we can write two equations:

    • n = (m+2)(x-4) where x is the number of students in each row when there are 4 extra students in each row.

    • n = (m-4)(x+4) where x is the number of students in each row when there are 4 fewer students in each row.



  4. Expanding the equations, we get:

    • nx - 4m = mx - 8 + 2x - 8

    • nx + 4m = mx + 16 + 4x + 16



  5. Simplifying the equations, we get:

    • (n-2x+16)/4 = m

    • (n+4x+32)/4 = m



  6. Equating the two equations, we get:

    • n-2x+16 = n+4x+32



  7. Simplifying the equation, we get:

    • 6x = n-16



  8. Substituting this value of 6x in the two equations we derived earlier, we get:

    • n = 6m + 56

    • n = 6m - 8



  9. Equating the two equations, we get:

    • 6m + 56 = 6m - 8



  10. This equation has no solution, which means our initial assumption was incorrect.

  11. Let's assume there are n students in the class and x students in each row.

  12. From the given information, we can write two equations:

    • n = (m+2)(x-4) where m is the number of rows when there are 4 extra students in each row.

    • n = (m-4)(x+4) where m is the number of rows when there are 4 fewer students in each row.



  13. Expanding the equations, we get:

    • nx - 4m
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
Explore Courses for Class 10 exam

Similar Class 10 Doubts

Top Courses for Class 10View all

Top Courses for Class 10

Students of a class are made to stand in rows. If 4 students are extra in a row, there would be 2 rows less .If 4 students are less in a row , there would be 4 more rows . Find the number of students in the class .?
Question Description
Students of a class are made to stand in rows. If 4 students are extra in a row, there would be 2 rows less .If 4 students are less in a row , there would be 4 more rows . Find the number of students in the class .? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Students of a class are made to stand in rows. If 4 students are extra in a row, there would be 2 rows less .If 4 students are less in a row , there would be 4 more rows . Find the number of students in the class .? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Students of a class are made to stand in rows. If 4 students are extra in a row, there would be 2 rows less .If 4 students are less in a row , there would be 4 more rows . Find the number of students in the class .?.
Solutions for Students of a class are made to stand in rows. If 4 students are extra in a row, there would be 2 rows less .If 4 students are less in a row , there would be 4 more rows . Find the number of students in the class .? in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of Students of a class are made to stand in rows. If 4 students are extra in a row, there would be 2 rows less .If 4 students are less in a row , there would be 4 more rows . Find the number of students in the class .? defined & explained in the simplest way possible. Besides giving the explanation of Students of a class are made to stand in rows. If 4 students are extra in a row, there would be 2 rows less .If 4 students are less in a row , there would be 4 more rows . Find the number of students in the class .?, a detailed solution for Students of a class are made to stand in rows. If 4 students are extra in a row, there would be 2 rows less .If 4 students are less in a row , there would be 4 more rows . Find the number of students in the class .? has been provided alongside types of Students of a class are made to stand in rows. If 4 students are extra in a row, there would be 2 rows less .If 4 students are less in a row , there would be 4 more rows . Find the number of students in the class .? theory, EduRev gives you an ample number of questions to practice Students of a class are made to stand in rows. If 4 students are extra in a row, there would be 2 rows less .If 4 students are less in a row , there would be 4 more rows . Find the number of students in the class .? tests, examples and also practice Class 10 tests.
Explore Courses for Class 10 exam

Top Courses for Class 10

Explore Courses

Suggested Free Tests

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up
within 7 days!
Takes less than 10 seconds to signup