Substitute values of 'k' from answer choices. Only D satisfies the condition of x<y.
You could try it for all options
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Expression
Source: Beat The GMAT — Problem Solving |
10[x/(x+y) + 2y/x+y] = k
10[(x+2y)/(x+y)] = k
10[(x+y+y)/(x+y)] = k
10[1 + y(x+y)] = k
The above exprssion tells us that k is a multiple of 10 and greater than 10.
Only option E satisfies this condition.
10[(x+2y)/(x+y)] = k
10[(x+y+y)/(x+y)] = k
10[1 + y(x+y)] = k
The above exprssion tells us that k is a multiple of 10 and greater than 10.
Only option E satisfies this condition.
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neelgandham
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I am not a great fan of substitution, so here is my approach.GmatKiss wrote:Will substitution work in this problem!!
Really hard to solve without sub.!
Exp :(10*(x/(x+y))) + (20*(y/(x+y))) = k
=> (10*((x+y)/(x+y)) + (10*(y/(x+y))) = k
=> 10 + (10*(y/(x+y)) = k (You can eliminate option A here as this expression is always > 10)
x,y>0 and y>x => 0<x<y.So the limits are 0 and y,
Let x = 0, then the expression 10 + (10*(y/(x+y)) = 20 > k
Let x = y, then the expression 10 + (10*(y/(x+y)) = 15 < k
=> 15<k<20
Answer : [spoiler]D-18![/spoiler]
Anil Gandham
Welcome to BEATtheGMAT | Photography | Getting Started | BTG Community rules | MBA Watch
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Welcome to BEATtheGMAT | Photography | Getting Started | BTG Community rules | MBA Watch
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neelgandham
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- Posts: 1060
- Location: Utrecht, The Netherlands
- Thanked: 318 times
rijul007 wrote:10[x/(x+y) + 2y/x+y] = k
10[(x+2y)/(x+y)] = k
10[(x+y+y)/(x+y)] = k
10[1 + y(x+y)] = k
The above exprssion tells us that k is a multiple of 10 and greater than 10.
Only option E satisfies this condition.
10[1 + y/(x+y)] = k doesn't imply that k is a multiple of 10 !
Say y =8 and x =2 then the expression is 18(k=18). k is a multiple of 10, on an assumption that y/(x+y) is an integer, which isn't necessary.
Anil Gandham
Welcome to BEATtheGMAT | Photography | Getting Started | BTG Community rules | MBA Watch
Check out GMAT Prep Now's online course at https://www.gmatprepnow.com/
Welcome to BEATtheGMAT | Photography | Getting Started | BTG Community rules | MBA Watch
Check out GMAT Prep Now's online course at https://www.gmatprepnow.com/
sorry, i realized my mistake after postingneelgandham wrote:rijul007 wrote:10[x/(x+y) + 2y/x+y] = k
10[(x+2y)/(x+y)] = k
10[(x+y+y)/(x+y)] = k
10[1 + y(x+y)] = k
The above exprssion tells us that k is a multiple of 10 and greater than 10.
Only option E satisfies this condition.
10[1 + y/(x+y)] = k doesn't imply that k is a multiple of 10 !
Say y =8 and x =2 then the expression is 18(k=18). k is a multiple of 10, on an assumption that y/(x+y) is an integer, which isn't necessary.
thnks for clarifying
