My dividend is 24. i am 2 more than my quotient. i have no remainder. what divisor am i?

The divisor can be 6 or -4.

Step-by-step explanation:

Dividend = Divisor × Quotient + Remainder

Let the quotient be x.

The number or divisor = x +2

Remainder = 0

Dividend = 24

Using middle term splitting :

(x-4)(x+6)= 0

if x = 4

Then ,Divisor = 4 + 2 = 6

if x = -6

Then ,Divisor = -6 + 2 = -4

The divisor can be 6 or -4.