5 times a positive number is less than its square by 24. What is the integer?

Question: 5 times a positive number is less than its square by 24. What is the integer?Solution:Let the unknown number be x.5 times a positive number = 5x5 times a positive number is less than its square by 24x2 - 5x = 24⇒ x2 + 3x - 8x - 24 = 0⇒ x(x + 3) - 8(x + 3) = 0⇒ (x - 8)(x + 3) = 0∴ x = 88 is the required integer.