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# x and y are consecutive integers, and x < y. What is the value of x?

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Math Expert
Joined: 02 Sep 2009
Posts: 51281
x and y are consecutive integers, and x < y. What is the value of x?  [#permalink]

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05 Dec 2017, 23:36
00:00

Difficulty:

45% (medium)

Question Stats:

68% (01:09) correct 32% (01:16) wrong based on 56 sessions

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x and y are consecutive integers, and x < y. What is the value of x?

(1) x + y = 7
(2) xy = 12

_________________
Manager
Joined: 05 Dec 2016
Posts: 244
Concentration: Strategy, Finance
GMAT 1: 620 Q46 V29
Re: x and y are consecutive integers, and x < y. What is the value of x?  [#permalink]

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06 Dec 2017, 03:17
(1) Only 3 and 4 can be x or y, and since x<y, then x=3 Sufficient
(2) here we have two possible solutions
1 case x=-4; y=-3
2 case x=3; y= 4
Insuff

Intern
Joined: 26 Oct 2017
Posts: 27
Re: x and y are consecutive integers, and x < y. What is the value of x?  [#permalink]

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06 Dec 2017, 11:28
Bunuel wrote:
x and y are consecutive integers, and x < y. What is the value of x?

(1) x + y = 7
(2) xy = 12

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Re: x and y are consecutive integers, and x < y. What is the value of x?  [#permalink]

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06 Dec 2017, 22:00
Bunuel wrote:
x and y are consecutive integers, and x < y. What is the value of x?

(1) x + y = 7
(2) xy = 12

Since x and y are consecutive integers and x < y, we can take y= x+1

(1) x+y = 7 OR x+x+1=7. This gives us single value of x as 3. Sufficient.

(2) xy = 12 OR x(x+1) = 12 OR x^2 + x - 12 = 0 OR (x-3)(x+4) = 12. This gives us two values of x as 3 and -4. Not sufficient.

Re: x and y are consecutive integers, and x < y. What is the value of x? &nbs [#permalink] 06 Dec 2017, 22:00
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