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# Are x and y both positive? 1) 2x-2y = 1 2) x/y >1

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Manager
Joined: 11 Jan 2006
Posts: 235
Location: Arkansas, US
WE 1: 2.5 yrs in manufacturing
Followers: 1

Kudos [?]: 4 [0], given: 18

anandsebastin wrote:
Are x and y both positive?
1) 2x-2y = 1
2) x/y >1

1. x-y=1/2 x could be negative and Y could be negative?

EX x= -1 y=-3/2 or
Both x and y could be positive.
EX x = 2 y= 3/2
Insufficient

2. x > Y Insufficient Both could be negative or positive
Combine 1 and 2 both X and Y not sufficient

ex: x =-1/4 & y=-3/4 supports 1 and 2 too. They both could be negative or positive

-(1/4) * -(4/3) is not > 1. Does not satisfy statement 2.

Both conditions satisfied only if both X and Y are positive.

If it's any consolation, I was composing a message to the contrary before I realized the mistake we've made.

The second statement is x/y not x*y...
do u c ur mistake...
_________________

ARISE AWAKE AND REST NOT UNTIL THE GOAL IS ACHIEVED

SVP
Joined: 05 Jul 2006
Posts: 1554
Followers: 4

Kudos [?]: 48 [0], given: 39

Are x and y both positive?
1) 2x-2y = 1
2) x/y >1

from one

x-y = 1/2

thus x,y might be positive 1-1/2 = 1/2 AND /X/>/Y/

or x+ve and y -ve 1/4 -(-1/4) = 1/2 AND /X/<=/Y/

or x -ve and y -ve -1/4 - (-3/4) = 1/2 AND /X/</Y/

from two both have same signe.........INSUFF

BOTH

so they could be both -ve or both positive but /x/>/y / ie(x/y>1)

this is only true if both are positive

edited to delete a rpeated letter
Manager
Joined: 11 Jan 2006
Posts: 235
Location: Arkansas, US
WE 1: 2.5 yrs in manufacturing
Followers: 1

Kudos [?]: 4 [0], given: 18

I've just worked it out...

the second condition states that, both have to b positive or both have to be negative...

the first condition states that x-y=0.5

the 2 conditions can be satisfied with both x=1, y=0.5
and x =-1, x =-1.5

(but jus a small confusion, the second condition, when seen as the ration x/y>1, is not holding with my second set of numbers, whereas its holding when it is viewed as x>y)

Could any math gurus plzz explain this out...
_________________

ARISE AWAKE AND REST NOT UNTIL THE GOAL IS ACHIEVED

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