A rectangular auditorium seats 1344 people. The number of seats in each rows exceeds the number of rows by 20. Find the number of seats in each row

Let the number of rows be x

rows = x

seats in each row = x + 20

total seats = 1344

x (x + 20) = 1344

x^2 + 20x - 1344 = 0

(x + 48) (x - 28) = 0

x = - 48 (rejected, answer cannot be negative) or x = 28

Therefore,

x = 28

x + 20 = 48

Check:

Row = 28

Numbers of seat per row = 28 + 20 = 48

28 x 48 = 1344 (Correct)

Ans:There are 48 seats per row