Question

In the morning assembly of a school ,480 students
are arranged in rows and columns If there
are 4 more students in each row than the
number of columns , find the number of
students in each row.








pls do answers this question​

Answer 1

$\bf{\huge{\underline{\boxed{\sf{\green{Answer:}}}}}}$

$\bf{\underline{\underline{\rm{\red{Given:}}}}}$

• Total Number of students = 480
• There are 4 more students in each row than the number of columns

$\bf{\underline{\underline{\rm{\red{To\:find}}}}}$

• the number of students in each row.

$\bf{\underline{\underline{\rm{\red{Solution:}}}}}$

Let the number of students in each columns be x.

$\bf{\underline{\underline{\rm{\red{As\:per\:the\:given\:condition:}}}}}$

• There are 4 more students in each row than the number of columns

•°• Let Number of students in each row be = x + 4

Since we have the total number of students present in the assembly = 480. The number of students can be obtained by multiplying the rows and columns in which the students were arranged.

Let's solve,

=> (x) (x+4) = 480

=> x² + 4x = 480

Converting the equation into general form of quadratic equation,

=> x² + 4x - 480 = 0

Solving the equation further by factorization method,

=> x² + 24x - 20x - 480 = 0

=> x ( x + 24) - 20 ( x + 24) = 0

=> ( x + 24) ( x - 20) = 0

=> x + 24 = 0 OR x - 20 = 0

=> x = - 24 OR x = 20

x = - 24 is not acceptable since the number of students cannot be negative.

•°• x = 20

$\bf{\large{\underline{\boxed{\sf{\purple{Number\:of\:students\:in\:each\:column\:=\:x\:=\:20\:students}}}}}}$

$\bf{\large{\underline{\boxed{\sf{\purple{Number\:of\:students\:in\:each\:row\:=\:x\:+\:4\:=\:20\:+\:4=\:24\:students}}}}}}$

Answer 2

Total Number of students is 480.

Let the number of students in column be x.

Let the number of students in row be x + 4

(x) (x + 4) = 480

x² + 4x = 480

x² + 4x - 480 = 0

x² + 24x - 20x - 480 = 0

x ( x + 24) - 20 ( x + 24) = 0

x + 24 = 0 or x - 20 = 0

x = - 24 or x = 20

x = 20

Number of students in column is x which is equal to 20 students

Row x + 4 = 24 students