Question

20 times a positive integer is less than its square by 96 what is the integer

Answer 1

let positive integer be x 
20x=x^2-96
x^2-20x-96=0
x^2+4x-24x-96
x(x+4)-24(x+4)
(x-24)(x+4)
hence, as x is a positive integer 
x=24