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If all members of Set X are positive integers, what is the range of Se

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If all members of Set X are positive integers, what is the range of Se [#permalink]

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If all members of Set X are positive integers, what is the range of Set X?

(1) The positive difference between the square of the largest number in Set X and the square of the smallest number in Set X is 99.
(2) The sum of the largest number in Set X and the smallest number in Set X is 11.
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Re: If all members of Set X are positive integers, what is the range of Se [#permalink]

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Bunuel wrote:
If all members of Set X are positive integers, what is the range of Set X?

(1) The positive difference between the square of the largest number in Set X and the square of the smallest number in Set X is 99.
(2) The sum of the largest number in Set X and the smallest number in Set X is 11.



Let largest number be 'a' and smallest number be 'b'.

a-b?

Statement 1:

a^2 - b^2 = 99

(a+b)(a-b)=99

If a=50 and b =49, then a-b=1;

If a=10, and b =1, then a-b = 9;

Insufficient

Statement 2:

a+b=11,

Clearly insufficient

Statement 1&2:

11*(a-b)=99

So a-b=9

C


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Re: If all members of Set X are positive integers, what is the range of Se [#permalink]

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Re: If all members of Set X are positive integers, what is the range of Se   [#permalink] 21 Dec 2017, 11:23
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