What is n?

Given that:

( 2 × n 2014 ) ÷ ( 2014 × 2013 2012 × 2011 ) = 0 (2\times n-2014)\div (2014\times 2013-2012\times 2011)=0

Find the value of n n


The answer is 1007.

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3 solutions

We have a division. The result is 0. One part of this division should be 0. Logically ( 2014 × 2013 2012 × 2011 ) (2014 \times 2013-2012 \times 2011) cannot be 0 because we can't divide by 0. ( 2 × n 2014 ) ( 2 \times n-2014) is equals 0. Thus n = 1007 n=1007 .

Sophie Crane
Sep 27, 2014

2 n 2014 2014 × 2013 2012 × 2011 = 0 \frac{2n-2014}{2014\times2013-2012\times2011}=0

Multiply both sides by 2014 × 2013 2012 × 2011 2014\times2013-2012\times2011 :

2 n 2014 = 0 2n-2014=0

Add 2014 to both sides:

2 n = 2014 2n=2014

Divide both sides by two:

n = 1007 n=1007

Lance Fernando
Aug 1, 2015

In the rule 0/n as such that n is not equal to 0 , we need to turn the first group of numbers as 0. Solving for n, it should be 1007.

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