The difference of 2 numbers is 21 and the quotient of the equation is 4 then what are the two numbers?

The two numbers are 28 and 7.

Step-by-step explanation:

Let the first number be x

Let the second number be y

The difference of x and y is x-y=21

The quotient of two numbers is x/y = 4

x-y =21    (This is equation 1)

x/y=4    (This is equation 2)  

By solving equation 2 we will get the value of x.

x/y=4

x=4y (Lets call it equation 3)

Now, put the value of x(equation 3) in (equation 1)

x-y=21

4y-y=21

3y=21

y=21/3

y=7

Now put the value of y in equation 3 to get the value of x

x=4y

x=4(7)

x=28

Solution Set {(x,y)(28,7)}