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# What is the value of the integer n? (1) n(n+2)=15 (2)

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What is the value of the integer n? (1) n(n+2)=15 (2) [#permalink]  25 Oct 2010, 00:25
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What is the value of the integer n?
(1) n(n+2)=15
(2) (n+2)^n =125

But I don’t know how to finish it…
(n+2)^n=5^3
How it is n=3, here base n=2 and 5 is not same..
[Reveal] Spoiler: OA

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Re: Value of an integer [#permalink]  25 Oct 2010, 00:34
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the first statement n(n+2)=15 would give two integer values as -3 and 5; not conclusive

The second statement (n+2)^n =125 can be written as

(n+2)^n = 5^3
=(3+2)^3 =5^3 --replacing n with 3
LHS =RHS

n =3, conclusive
Re: Value of an integer   [#permalink] 25 Oct 2010, 00:34
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