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Is the product of two positive numbers x and y bigger than

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Is the product of two positive numbers x and y bigger than [#permalink] New post 02 Mar 2008, 03:24
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Is the product of two positive numbers x and y bigger than their sum?
1. x and y are integers
2. y > x > 1
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Re: Integers [#permalink] New post 02 Mar 2008, 06:31
Question can be restated as is XY > X + Y or X > X/Y + 1 or (X-1) > X/Y

Statement 1;
Now take 2 Scenarios, X=1, Y=1, condition satisfied
X=2, Y= 4, condition not satisfied.
So this statement cannot asnwer the question.

Statement 2:
Again take 2 scenarios, X=1.1, Y=1.2, condition is not satisfied.
X=1.1, Y=100, condition is satisfied
So again this statement cannot answer the question.

Now combining both the statements:
Take 2 scenarios X=2,Y=3, condition is satisfied.
X=2, Y=100, condition is satisfied.

So both together can Answer it. Answer is C.
Re: Integers   [#permalink] 02 Mar 2008, 06:31
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Is the product of two positive numbers x and y bigger than

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