Question

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

Answer 1

Answer:

24

Step-by-step explanation:

Let x be number of students in column.

Number of students in row = x + 4.

We know that total number of students - number of students in column * number of students in row = 480

=> x * (x + 4) = 480

=> x² + 4x = 480

=> x² + 4x - 480 = 0

by Factorization method

=> x² + 24x - 20x - 480 = 0

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

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

=> x -20 = 0  or x + 24 = 0

=> x = 20 or - 24

Since x cannot be negative, the value of x is 20.

Thus number of students in a row = x +4 = 20 + 4 = 24.

Answer 2

Answer:

see the above photo

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