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# The sum of two integers is 27. The larger integer is 25% gre

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Joined: 07 Jun 2014
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GRE 1: Q167 V156
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The sum of two integers is 27. The larger integer is 25% gre [#permalink]  17 Mar 2018, 07:22
Expert's post
00:00

Question Stats:

60% (01:13) correct 40% (03:10) wrong based on 5 sessions
The sum of two integers is 27. The larger integer is 25% greater than the smaller integer. What is the positive difference between the two integers?

A. 3
B. 6
C. 9
D. 12
E. 15

Drill 2
Question: 2
Page: 497
[Reveal] Spoiler: OA

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Sandy
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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 118

Kudos [?]: 1897 [0], given: 397

Re: The sum of two integers is 27. The larger integer is 25% gre [#permalink]  18 Mar 2018, 06:50
Expert's post
Explanation

Use the information in the problem to write the equations x + y = 27 and $$\frac{x}{4}$$+ x=y.

You can combine these two equations to say that $$\frac{x}{4}$$ =x+x=27.

When you solve this new equation you find that x = 12.

You can then go back to your first equation and find that y = 15. The positive difference between 15 and 12 is 3, so select choice (A).
_________________

Sandy
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Re: The sum of two integers is 27. The larger integer is 25% gre   [#permalink] 18 Mar 2018, 06:50
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# The sum of two integers is 27. The larger integer is 25% gre

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