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If x are y are positive integers, what is the value of x+y

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If x are y are positive integers, what is the value of x+y [#permalink]

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New post 21 Nov 2016, 20:59
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If x are y are positive integers, what is the value of x+y?
(1) x and y are consecutive prime numbers
(2) x-y=1
[Reveal] Spoiler: OA

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Re: If x are y are positive integers, what is the value of x+y [#permalink]

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New post 22 Nov 2016, 02:48
If x are y are positive integers, what is the value of x+y?
(1) x and y are consecutive prime numbers
(2) x-y=1

from 1- 2,3 are consecutive prime nos.
from2- many possibilities are there

hence A
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Re: If x are y are positive integers, what is the value of x+y [#permalink]

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New post 22 Nov 2016, 02:53
s1d1 wrote:
If x are y are positive integers, what is the value of x+y?
(1) x and y are consecutive prime numbers
(2) x-y=1

from 1-2,3 are consecutive prime nos.
from2- many possibilities are there

hence A


The highlighted is not true. 3, 5 are consecutive prime numbers, 7, 11 are consecutive prime numbers

(1) or (2) can't lead to value of x + y.

Combine (1) and (2): only \((x,y)=(3,2)\) sufficient.

The answer is C.

I've seen the same topic in gmatclub, if I'm not wrong :?:
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Re: If x are y are positive integers, what is the value of x+y [#permalink]

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New post 17 Aug 2017, 09:30
Tip: Consecutive prime numbers doesn't imply only on the pair (2,3).
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Re: If x are y are positive integers, what is the value of x+y [#permalink]

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New post 17 Aug 2017, 11:02
stonecold wrote:
If x are y are positive integers, what is the value of x+y?
(1) x and y are consecutive prime numbers
(2) x-y=1


x,y > 0
x + y = ?

1) x, y -> consecutive primes
x = 2, y = 3
x + y = 5
x = 3, y = 5
x + y = 8
Insufficient.

2) x = y + 1
y = 1, x = 2
y = 2, x = 3
Insufficient.

1+2)
x = y + 1 & x,y are consecutive primes.
=> y = 2, x = 3
Sufficient.

C is the answer.
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Re: If x are y are positive integers, what is the value of x+y [#permalink]

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New post 18 Aug 2017, 13:29
If x are y are positive integers, what is the value of x+y?

(1) x and y are consecutive prime numbers

x and y can take values such as:

2, 3 = x + y = 2 + 3 = 5
3, 5 = x + y = 3 + 5 = 8
5, 7 = x + y = 5 + 7 = 12

As we are getting multiple values, this information is not sufficient.

Hence, (1) ===== is NOT SUFFICIENT

(2) \(x-y=1\)

Once again, x and y can take values such as:

3, 2 = x + y = 3 + 2 = 5
5, 4 = x + y = 5 + 4 = 9
7, 6 = x + y = 7 + 6 = 13

As we are getting multiple values, this information is not sufficient.

Hence, (2) ===== is NOT SUFFICIENT

Combining (1) & (2)

x and y are consecutive prime numbers and \(x-y=1\)

With above information, there is only one possibility

x = 3

y = 2

3 - 2 = 1

Hence, (1) & (2) ===== is SUFFICIENT

Hence, Answer is C
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Re: If x are y are positive integers, what is the value of x+y   [#permalink] 18 Aug 2017, 13:29
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