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by saurabhmahajan » Wed Aug 11, 2010 1:38 am
How to solve this is more easy way ?

If x, y, and k are positive numbers such that (x/x+y)(10)+(x/x+y)(20)=k and if x<y, which of the following could be the value of k ?

(A) 10

(B) 12

(C) 15

(D) 18

(E) 30
Thanks and regards,
Saurabh Mahajan

I can understand you not winning,but i will not forgive you for not trying.
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Source: — Problem Solving |

by kvcpk » Wed Aug 11, 2010 1:53 am
saurabhmahajan wrote:How to solve this is more easy way ?

If x, y, and k are positive numbers such that (x/x+y)(10)+(x/x+y)(20)=k and if x<y, which of the following could be the value of k ?

(A) 10

(B) 12

(C) 15

(D) 18

(E) 30
x/x+y = k/30
When k=30, x= x+y -> y=0 NOT possible
When k = 18, 5x = 6x+6y -> x= -6y .. Not possible because x,y are positive
When K=15, 2x=x+y -> x=y .. not possible because given x<y
when k=12, 5x = 2x+2y -> 3x = 2y.. When y is integr, x need not be an integer. Because x= 2/3 Y
when k=10, 3x = x+y -> 2x = y when y is integer, x is always integer... POSSIBLE

pick A
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People who work sincerely are the happiest."
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by saurabhmahajan » Wed Aug 11, 2010 1:58 am
sorry...its not the correct answer
Thanks and regards,
Saurabh Mahajan

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by kvcpk » Wed Aug 11, 2010 2:03 am
saurabhmahajan wrote:sorry...its not the correct answer
Are you sure that you have copied the question correctly?

I dont see any option better here. I chose A just thru elimination as stated in my above post.
"Once you start working on something,
don't be afraid of failure and don't abandon it.
People who work sincerely are the happiest."
Chanakya quotes (Indian politician, strategist and writer, 350 BC-275BC)
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by kevincanspain » Wed Aug 11, 2010 2:12 am
saurabhmahajan wrote:How to solve this is more easy way ?

If x, y, and k are positive numbers such that (x/x+y)(10)+(y/x+y)(20)=k and if x<y, which of the following could be the value of k ?

(A) 10

(B) 12

(C) 15

(D) 18

(E) 30
Note the correction!
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