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consecutive odd integers

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Manager
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consecutive odd integers [#permalink] New post 09 Aug 2007, 04:47
hi guys - can anyone tell me why answer A is true?

If x and y are consecutive odd integers, what is the sum of x and y?
(1) The product of x and y is negative.
(2) One of the integers is equal to –1.


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Director
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Schools: University of Chicago, Wharton School
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Re: consecutive odd integers [#permalink] New post 09 Aug 2007, 05:12
domleon wrote:
hi guys - can anyone tell me why answer A is true?

If x and y are consecutive odd integers, what is the sum of x and y?

(1) The product of x and y is negative.
(2) One of the integers is equal to –1.
Cheers


1: x and y are 1 and -1. so sum = 0. suff.

2: x and y could be -1 and -3 or -1 and 1. so sum coulkd also be 0 or -4. nsf

A.

ahaha
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 [#permalink] New post 09 Aug 2007, 05:12
The sum is 0.

For the product of two numbers to be negative one of the numbers has to be positive and the other has to be negative. Any positive and any negative number will work, however, the instructions say x and y are consecutive odd integers. The only two odd numbers that are A. one positive and one negative and B. consecutive are -1 and 1.

Since you can solve it with just 1, the answer won't be C, but you can't solve it from just number 2. One of the integers is -1 but the other one could be -3 or 1. B is insufficient.
Manager
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 [#permalink] New post 09 Aug 2007, 05:18
guys thank very much! both of your explainations now help me with the clue! cheers, dom :-D
  [#permalink] 09 Aug 2007, 05:18
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