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# abc ps

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Director
Joined: 17 Oct 2005
Posts: 940
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abc ps [#permalink]  23 Jan 2006, 07:09
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Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
If a,b, and c are positive numbers such that
[a/(a+b)](10) + [b/(a+b)](20)= c and if a < b, which of the following could be the value of c?

A. 10
B. 12
C. 15
D. 18
E. 30
Intern
Joined: 23 Jan 2006
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here are my thoughts...

10[a/(a+b) + 2b/(a+b)] = c just factored out the 10

(a+2b) / (a+b) = c/10 divided both sides by 10... and added numerators b/c they have same denominator

think of it kind of like a ratio... (a + 2b) = c and (a+b) = 10

what are all the possibilities where a+b = 10 and a<b
(4,6)
(3,7)
(2,8)
(1,9)

plug these into a + 2b to find the value of c.. it is 18.

There may be an easier way with out plugging in, but this seems to work.
Director
Joined: 09 Oct 2005
Posts: 722
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Kudos [?]: 12 [0], given: 0

andrewhh82 wrote:
here are my thoughts...

10[a/(a+b) + 2b/(a+b)] = c just factored out the 10

(a+2b) / (a+b) = c/10 divided both sides by 10... and added numerators b/c they have same denominator

think of it kind of like a ratio... (a + 2b) = c and (a+b) = 10

what are all the possibilities where a+b = 10 and a<b
(4,6)
(3,7)
(2,8)
(1,9)

plug these into a + 2b to find the value of c.. it is 18.

There may be an easier way with out plugging in, but this seems to work.
agree good job
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IE IMBA 2010

Senior Manager
Joined: 11 Jan 2006
Posts: 270
Location: Chennai,India
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simple and easy good gooing
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vazlkaiye porkalam vazltuthan parkanum.... porkalam maralam porkalthan maruma

Director
Joined: 17 Oct 2005
Posts: 940
Followers: 1

Kudos [?]: 62 [0], given: 0

great work andrewhh82

the oa is 18
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