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Difficulty: 505-555 Level,   Algebra,   Exponents,                  
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Re: What is the value of integer n? [#permalink]
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Hi All,

We're told that N is an integer. We are asked for the value of N.

1) (N)(N+1) = 6

Here, we can do a bit of algebra to create a Quadratic...

N^2 + N = 6
N^2 + N - 6 = 0
(N+3)(N-2) = 0
N = -3 or +2
With two different solutions...
Fact 1 is INSUFFICIENT

2) 2^(2N) = 16

The ONLY exponent that will fit here is 4.... 2^4 = 16.
2N = 4
N =2
Fact 2 is SUFFICIENT

Final Answer:

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Re: What is the value of integer n? [#permalink]
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Re: What is the value of integer n? [#permalink]
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