SOLUTION: kim is thinking of two numbers.the quotient is 4 and the differnece is 27.What are the two numbers?

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Question 364595: kim is thinking of two numbers.the quotient is 4 and the differnece is 27.What are the two numbers?
Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
Let's have x be one number and y be the other. Now we can write 2 equations as:
x/y=4
x-y=27
Multiply the first by y to get:
x=4y
Now multiply it by -1 and add 4y:
-x+4y=0
x-y=27
Add both equations:
3y=27
Divide by 3 to get:
y=9
Plug this into either equation and we get:
x=36
Make sense?
RJ
www.math-unlock.com