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

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If m/n = 5/3, what is the value of m + n ? [#permalink] New post 26 Jan 2014, 09:39
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The Official Guide For GMAT® Quantitative Review, 2ND Edition

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

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

Data Sufficiency
Question: 57
Category: Algebra Simultaneous equations
Page: 157
Difficulty: 600


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

Answer: B.
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Re: If m/n = 5/3, what is the value of m + n ? [#permalink] New post 26 Jan 2014, 10:45
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The Official Guide For GMAT® Quantitative Review, 2ND Edition

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

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



Statement 1) We have been given the ratio and multiple values are possible.
For example : m = 5, n = 3 or m = 10, n = 6. Hence Not Sufficient.

Statement 2) 2m + n = 26.
As we have two equation given by premise (3m = 5n) and one given by the statement, we can determine m+n.

Sufficient.

option - B
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Re: If m/n = 5/3, what is the value of m + n ? [#permalink] New post 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
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Re: If m/n = 5/3, what is the value of m + n ? [#permalink] New post 28 Jan 2014, 01:56
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] New post 01 Feb 2014, 08:16
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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.

Answer: B.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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