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M15-09

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M15-09 [#permalink]

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If the value of fraction \(\frac{A}{B}\) (\(A \lt B\)) will not change if \(A\) grows by 6 and \(B\) grows by 15, which of the following is equal to \(\frac{B}{A}\)?

A. 2.0
B. 2.1
C. 2.5
D. 2.8
E. 3.0
[Reveal] Spoiler: OA

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Re M15-09 [#permalink]

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New post 15 Sep 2014, 23:55
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Official Solution:

If the value of fraction \(\frac{A}{B}\) (\(A \lt B\)) will not change if \(A\) grows by 6 and \(B\) grows by 15, which of the following is equal to \(\frac{B}{A}\)?

A. 2.0
B. 2.1
C. 2.5
D. 2.8
E. 3.0

\(\frac{A}{B} = \frac{A + 6}{B + 15}\). From here \(B(A + 6) = A(B + 15)\) or \(6B = 15A\) or \(\frac{B}{A} = \frac{15}{6} = 2.5\).

Answer: C
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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.


What are GMAT Club Tests?
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Re: M15-09 [#permalink]

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New post 09 Jan 2017, 04:58
Given that A/B=(A+6)/(B+15), cross multiply to get the ratio between B and A. The answer comes out to be 2.5 i.e. option C
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Re: M15-09 [#permalink]

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New post 21 Nov 2017, 23:00
Can we back solve this question anyway?

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Re: M15-09   [#permalink] 21 Nov 2017, 23:00
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