**The difference of 9 and the quotient of a number T and 6 which equals 5 is either 21 or -21.** When T/6 = 5, basic algebra gives the formula T = 6 * 5, which gives T = 30.

The difference between 9 and 30 is either 9 - 30 = -21 or 30 - 9 = 21. The difference refers to the result of the subtraction function. Since the question does not specify whether 9 is subtracted from T or whether T is subtracted from 9, both solutions are possible. The quotient refers to the result of a division problem.