SOLUTION: find two numbers whose difference is 200, such that the larger number is 5 times the smaller.

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Question 276559: find two numbers whose difference is 200, such that the larger number is 5 times the smaller.
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
x-y=200
x=5y
5y-y=200
4y=200
y=50
x=250
response:
thank-you for the help. although i don't understand how you got the answer to the problem. however, i really do appreciate the help
The problem says 2 numbers differ by 200
let x be one number and y be the other
x-y=200
Do you see how they differ by 200?
The problem also says that one number is 5 times the other number
so let x=5y
Do you see how x is 5 times y?
so substitute 5y for x in x-y=200
and we get
5y-y=200
4y=200
y=50
but we also know that
x=5y
x=5*50
x=250