What two numbers have a quotient of 4 and a sum of 15?

Let the two numbers be ( x ) and ( y ). Given that their quotient is 4, we can express this as ( \frac{x}{y} = 4 ), which implies ( x = 4y ). The sum of the numbers is given as ( x + y = 15 ). Substituting ( x ) into the sum equation gives ( 4y + y = 15 ), leading to ( 5y = 15 ), so ( y = 3 ) and ( x = 12 ). Thus, the two numbers are 12 and 3.