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

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Solution

The correct option is D
24

$L e t t h e n u m b e r o f s t u d e n t s i n e a c h r o w b e x . A n d t h e n u m b e r o f s t u d e n t s i n e a c h c o l u m n b e y . S o, x y = 480 . . . . . . (i) A n d x = y + 4 . . . . . . (i i) N o w, (y + 4) . y = 480 \Rightarrow y^{2} + 4 y - 480 = 0 \Rightarrow y^{2} + 24 y - 20 y - 480 = 0 \Rightarrow y (y + 24) - 20 (y + 24) = 0 \Rightarrow (y + 24) (y - 20) = 0 \Rightarrow y = - 24, 20. H e r e x = - 24 (n e g l e c t e d) I f y = 20, x = 20 + 4 S o, n u m b e r o f s t u d e n t s i n e a c h r o w = 24.$

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