Question

The difference of two numbers is 30. their quotient is 6. what are the two numbers

Answer 1

well, the quotient must be bigger/smaller

lets say the numbers are x and y
x>y

so
x-y=30 and x/y=6
multiply both sides by y in 2nd equation
x=6y
subsitute 6y for x in other equation

6y-y=30
5y=30
divide by 5
y=6

sub back
x=6y
x=6(6)
x=36


the numbers are 36 and 6

but they could also be -36 and -6 because -36/-6=6 and -6-(-36)=30


the 2 numbers are 36 and 6 or -36 and -6