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Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

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Re: If m/n = 5/3, what is the value of m + n ? [#permalink]
26 Jan 2014, 09:39

Expert's post

SOLUTION

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

(1) m > 0. Clearly insufficient: if m=5, n=3, then m + n = 8 and if m=10, n=6, then m + n = 16.

(2) 2m + n= 26. We have two distinct linear equations with two unknowns (m/n=5/3 and 2m+n=26), hence we can solve for both of them and get the value of m + n. Sufficient.

Re: If m/n = 5/3, what is the value of m + n ? [#permalink]
26 Jan 2014, 22:13

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

Re: If m/n = 5/3, what is the value of m + n ? [#permalink]
01 Feb 2014, 08:16

Expert's post

SOLUTION

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

(1) m > 0. Clearly insufficient: if m=5, n=3, then m + n = 8 and if m=10, n=6, then m + n = 16.

(2) 2m + n= 26. We have two distinct linear equations with two unknowns (m/n=5/3 and 2m+n=26), hence we can solve for both of them and get the value of m + n. Sufficient.

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