Find a positive number which when increased by 11 is equal to 60 times the reciprocal of the number.

Question: Find a positive number which when increased by 11 is equal to 60 times the reciprocal of the number.Solution:Let the number be x.A positive number (x) increased by 11 is equal to 60 times the reciprocal of the number (1/x)x + 11 = 60/x⇒ x2 + 11x - 60 = 0⇒ x2 + 15x - 4x - 60 = 0⇒ x(x + 15) - 4(x + 15) = 0⇒ (x + 15)(x - 4) = 0∴x = 4The positive number (x) = 4