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Question: In an auditorium, the number of rows is equal to the number of seats in each row. If the number of seats is increased by 3 and the number of rows is increased by 6, then the total number of seats is increased by 288. How many rows are there? A ) 30 B ) 25 C ) 35 D ) 20 Steps to derive 1 Let a represent the number of rows in the auditorium. Then number of seats in each row = a .2 Total number of seats = ( a ) × (a ) = a 2 3 Total number of seats after increasing number of rows by 6 and seats in each row by 3 is (a + 6)(a + 3)4 (a + 6)(a + 3) - a 2 = 288 [Difference in two total number of seats is 288.]5 a 2 + 9a + 18 - a 2 = 2886 9a = 270 ⇒ a = 30 [Simplify.]7 So, there are 30 rows in the auditorium.Hence the right answer is Option A Click Here To Go Back Few Other Questions - Laura swims for 2 hours daily. The time at which she comes out of the pool is 6:00 P.M. At.. What time does the clock show, if it is morning?.. What time does the clock show if it is afternoon?.. 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