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Re: If m/n = 5/3, what is the value of m + n ? [#permalink]
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From S1:m>0
m and n could take diff positive values like (5,3) or (25,15).Accordingly,value of m+n will change.Insufficient.
From S2:2m+n=26
As m=5n/3,replacing in the above equation,we get (10n/3)+n=26=>13n/3=26
n=6 and m=10.Therefore,m+n=16.Sufficient.
Ans.B
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Re: If m/n = 5/3, what is the value of m + n ? [#permalink]
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Question stem says 3m=5n.

Statement (1). m>0 gives multiple values of m+n. Insufficient

Statement (2). 2m+n=26. This is sufficient when combined with the relationship of m and n in the stem.

Answer B
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Re: If m/n = 5/3, what is the value of m + n ? [#permalink]
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HI Bunuel, If someone wants to score 51/50 on quant, should s/he be able to solve questions like these in less than 30 secs? Thanks
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Re: If m/n = 5/3, what is the value of m + n ? [#permalink]
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HI Bunuel, If someone wants to score 51/50 on quant, should s/he be able to solve questions like these in less than 30 secs? Thanks
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Ideally yes.
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Re: If m/n = 5/3, what is the value of m + n ? [#permalink]
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Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

If m/n = 5/3, what is the value of m + n ?

(1) m > 0
(2) 2m + n= 26

There are 2 variables (m,n), and one equation (m/n=5/3), and 2 more equations from the 2 conditions; there is high chance (D) will be our answer.
For condition 1, m>0. We cannot decide on a value, so this is insufficient
For condition 2, 2m+n=26, 3m=5n. We get m=10, n=6. This is sufficient, and the answer is (B).

For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E.
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Re: If m/n = 5/3, what is the value of m + n ? [#permalink]
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Re: If m/n = 5/3, what is the value of m + n ? [#permalink]
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