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 Author: A4G [ 03 Dec 2013, 16:09 ] Post subject: If x and y are positive integers,what is the value of x + y? If x and y are positive integers, what is the value of x + y ?(1) $$2^x 3^y= 72$$ (2) $$2^x 2^y = 32$$

 Author: A4G [ 03 Dec 2013, 16:13 ] Post subject: Re: If x and y are positive integers,what is the value of x + y? A4G wrote:If x and y are positive integers, what is the value of x + y ?(1) 2^x 3^y= 72 (2) 2^x 2^y = 32Statement 1:Since x and y are integers, there is only possibility. 72 = 8*9 = 2^3 * 3^2So x = 3 and y = 2.We can find x+y = 3+2 = 5 =>Sufficient .Statement 2 : LHS : 2^x 2^y = 2^(x+y)RHS : 32 = 2^52^(x+y) = 2^5Hence x+y = 5. =>Sufficient .Answer = D

 Author: Kinshook [ 21 Jul 2019, 03:33 ] Post subject: Re: If x and y are positive integers,what is the value of x + y? A4G wrote:If x and y are positive integers, what is the value of x + y ?(1) $$2^x 3^y= 72$$ (2) $$2^x 2^y = 32$$Given: x and y are positive integersAsked: What is the value of x + y ?(1) $$2^x 3^y= 72$$$$2^x 3^y= 72 = 2^3*3^2$$x=3 y=2x+y = 5SUFFICIENT(2) $$2^x 2^y = 32$$[/quote]$$2^x 2^y = 32$$ = 2^5x+y = 5SUFFICIENTIMO D

 Author: bumpbot [ 25 Jan 2022, 09:37 ] Post subject: Re: x and y are positive not positive integers Hello from the GMAT Club BumpBot!Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.

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