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Simple Integer Question

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
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by milanproda » Sat Oct 09, 2010 4:05 am
Hello guys/gals,

First post here, might as well be a simple question:

The sum of two integers is 20. The difference between three times the smaller integer and four is one more than twice the larger integer. What are the two integers?

Thank you very much in advance. This site has been alot of help for a rookie like me!
Milan Prodanovic
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Source: — Quantitative Reasoning |
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by ashokkadam » Sat Oct 09, 2010 4:39 am
a+b=20 i.e. 3a+3b=60
3a-4=1+2b i.e. 3a-2b=5


5b=55
b=11
a=9

9 and 11 are the two integers!!

Request you to post GMAT relevant questions!!
milanproda wrote:Hello guys/gals,

First post here, might as well be a simple question:

The sum of two integers is 20. The difference between three times the smaller integer and four is one more than twice the larger integer. What are the two integers?

Thank you very much in advance. This site has been alot of help for a rookie like me!
Force and mind are opposites; morality ends where a gun begins.
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by Jim@Grockit » Sun Oct 10, 2010 8:06 pm
milanproda wrote:Hello guys/gals,

First post here, might as well be a simple question:

The sum of two integers is 20. The difference between three times the smaller integer and four is one more than twice the larger integer. What are the two integers?

Thank you very much in advance. This site has been alot of help for a rookie like me!
The strategy is to read the first two sentences as two different equations; this is very useful on the GMAT. Once you have two equations for two variables, you can solve by substitution or combination.
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