in a P.T display 480 students are arranged in rows and columns.If there are 4 more students in each row than the number of rows.Find the number of students in each row.
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Step-by-step explanation:
GIVEN : Total numbers of students in a P.T display = 480
Let the number of columns be x & number of rows (x+4)
ATQ
x (x+4) = 480
x² +4x =480
x² +4x - 480 = 0
x² +24x -20x - 480= 0
[ by factorization method]
x(x + 24) -20(x + 24) = 0
(x+24) (x-20) = 0
x+24 = 0 or x-20 = 0
x = -24 or x = 20
But x = -24 is not possible because number of rows can't be negative.
Therefore , x = 20
Number of columns = 20
number of rows = x +4 = 20 + 4 = 24
Hence, the number of rows is 24.
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