M + N

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Source: — Data Sufficiency |

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by alex.gellatly » Sun Aug 26, 2012 7:34 pm
grandh01 wrote:If , m/n=5/3
what is the value of m +
n?
(1) m > 0
(2) 2m + n = 26
The correct answer should be B. Here is why:

Given in the question stem is m/n=5/3, cross multiply we get 3m=5n. The questions is asking for the value of m+n. In order to solve this we need another equation with m and n in it which is different.
Statement 1: Insufficient because it only says that m>0 which does not help finding the values of m nor n.
Statement 2: Sufficient because it gives us another equation with m and n. We know have to variables and two equations, so we can solve for both m and n, individually and then solve for m+n. Remember in DS questions we don't actually have to solve the equation.
A useful website I found that has every quant OG video explanation:

https://www.beatthegmat.com/useful-websi ... tml#475231