SOLUTION: which of the following is the larger of two numbers the product of which 600 and the sum of which is 5 times the difference between the two? A.10 B.15 C.20 D.30

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Question 991456: which of the following is the larger of two numbers the product of which 600 and the sum of which is 5 times the difference between the two?
A.10
B.15
C.20
D.30
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
x = larger number
y = smaller number

xy = 600
x + y = 5(x - y) ---> 6y = 4x --> y = 2x/3

Substitute.
(x)(2x/3) = 600
x = 30, y = 20

The larger number is D) 30.