Question

In an auditorium seats are arranged in row and column.the number of rows was equal to number of seats in each row,when the number of row was doubled and number of seats in each row was reduced by 10,the total number of seats increased by 300 and column was tripled and number of seats in each column reduced by 8.find number of rows

Answer 1

Answer:

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Answer 2

Answer:

(2x) (x-10) = x² + 300

2x² - 20x = x² + 300

x² - 20x + 300 = 0

x² - 30x + 10x - 300 = 0

x(x - 30) + 10(x - 30) = 0

(x + 10) (x - 30)

So x = -10 or 30

but values can't be nagative so it's not -10

Therefore x = 30

Therefore there are 30 rows.