Answer:
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)}