in an examination students are made to sit in rows if in each row 1 student is increased then number of rows decreases by 2 . if one student is less in each row then there would be 3 additional rows find number of students in the class
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I think it may be 12 ,the condition satisfies
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x students in one row
n rows
By the given condition,
(x+1) (n-2)= (x-1) (n+3)
Therefore, 2n +1 = 5x (after solving) ........(1)
Also,
(x+1) (n-2) = xn
Therefore, 2x= n-2 (after solving)...... (2)
So, from (1) n (2),
x=5, n=12
So, total students =xn = 12*5=60
n rows
By the given condition,
(x+1) (n-2)= (x-1) (n+3)
Therefore, 2n +1 = 5x (after solving) ........(1)
Also,
(x+1) (n-2) = xn
Therefore, 2x= n-2 (after solving)...... (2)
So, from (1) n (2),
x=5, n=12
So, total students =xn = 12*5=60
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