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Math Expert V
Joined: 02 Sep 2009
Posts: 56302
If w/(x + y) = 1, what is the value of (x + y)/y ?  [#permalink]

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Difficulty:   45% (medium)

Question Stats: 63% (01:12) correct 37% (01:32) wrong based on 60 sessions

### HideShow timer Statistics If w/(x + y) = 1, what is the value of (x + y)/y ?

(1) x/y = 3/2

(2) y/w = 2/5

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Math Expert V
Joined: 02 Aug 2009
Posts: 7764
Re: If w/(x + y) = 1, what is the value of (x + y)/y ?  [#permalink]

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If w/(x + y) = 1, what is the value of (x + y)/y ?

$$\frac{x+y}{y}$$=$$1+\frac{x}{y}$$

(1) x/y = 3/2
So Ans 1+3/2=5/2
Suff

(2) y/w = 2/5
Now $$\frac{w}{x+y}$$=1 or $$\frac{x+y}{w}=1$$
x/w=1-2/5=3/5
So ratio of x:y:z=3:2:5 and thus x/y=3/2
Ans 1+3/2=5/2
Sufficient

D
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If w/(x + y) = 1, what is the value of (x + y)/y ?  [#permalink]

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Bunuel wrote:
If w/(x + y) = 1, what is the value of (x + y)/y ?

(1) x/y = 3/2

(2) y/w = 2/5

Given, w/(x + y) = 1
St1:- $$\frac{x}{y} = \frac{3}{2}$$
Or, $$\frac{x}{y}+1 = \frac{3}{2}+1$$
Or, $$\frac{x+y}{y} = \frac{5}{2}$$
Sufficient.

St2:- $$\frac{y}{w} = \frac{2}{5}$$
Or, $$w=\frac{5}{2}*y$$

Substituting 'w' in (1), we can express 'x' in terms of y, vice-versa.

Again, we can substitute the value of x or y in question stem and determine $$\frac{(x+y)}{y}$$.

Sufficient.

Ans. (D)
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Re: If w/(x + y) = 1, what is the value of (x + y)/y ?  [#permalink]

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$$\frac{(x+y)}{y}$$= $$\frac{x}{y}$$+1............................(a)

(1) $$\frac{x}{y}$$=$$\frac{3}{2}$$. Put this value in the above modified equation (a)

$$\frac{3}{2}$$+1= $$\frac{5}{2}$$ [Suff]

$$\frac{w}{(x+y)}$$= 1...........................(b)

(2) $$\frac{y}{w}$$= $$\frac{2}{5}$$ or 2w= 5y or w= $$\frac{5y}{2}$$

Put this value of w in the above equation (b)

$$\frac{5y}{2(x+y)}$$= 1 or $$\frac{2(x+y)}{5y}$$= 1 or $$\frac{(x+y)}{y}$$= $$\frac{5}{2}$$ [Suff]

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Kindly hit kudos if my post helps! Re: If w/(x + y) = 1, what is the value of (x + y)/y ?   [#permalink] 13 Aug 2018, 10:06
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