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# If (x – y)(x + y) = 15 and x + y = 5, then what is the value of x/y ?

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Joined: 02 Sep 2009
Posts: 58396
If (x – y)(x + y) = 15 and x + y = 5, then what is the value of x/y ?  [#permalink]

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07 Apr 2019, 21:49
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Difficulty:

15% (low)

Question Stats:

92% (01:30) correct 8% (01:03) wrong based on 26 sessions

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If (x – y)(x + y) = 15 and x + y = 5, then what is the value of x/y ?

(A) 3

(B) 4

(C) 5

(D) 10

(E) 15

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Joined: 31 Oct 2013
Posts: 1467
Concentration: Accounting, Finance
GPA: 3.68
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Re: If (x – y)(x + y) = 15 and x + y = 5, then what is the value of x/y ?  [#permalink]

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07 Apr 2019, 21:54
Bunuel wrote:
If (x – y)(x + y) = 15 and x + y = 5, then what is the value of x/y ?

(A) 3

(B) 4

(C) 5

(D) 10

(E) 15

Given,

(x – y)(x + y) = 15

(x – y) 5 = 15

x - y = 3.

Now,

x + y = 5

x - y = 3

..............................

2x = 8

x = 4.

x + y = 5

4 + y = 5

y =1.

So,

x/y

4/1 = 4.

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Re: If (x – y)(x + y) = 15 and x + y = 5, then what is the value of x/y ?  [#permalink]

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08 Apr 2019, 00:14
Bunuel wrote:
If (x – y)(x + y) = 15 and x + y = 5, then what is the value of x/y ?

(A) 3

(B) 4

(C) 5

(D) 10

(E) 15

solve (x – y)(x + y) = 15 and x + y = 5
x-y=3
and x+y=5
y=1 and x= 4
so x/y = 4
IMO B
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Re: If (x – y)(x + y) = 15 and x + y = 5, then what is the value of x/y ?  [#permalink]

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08 Apr 2019, 19:34
Bunuel wrote:
If (x – y)(x + y) = 15 and x + y = 5, then what is the value of x/y ?

(A) 3

(B) 4

(C) 5

(D) 10

(E) 15

$$x+y=5$$
So, $$x-y=3$$

Solve for x and y.

$$x=4, y=1$$
$$\frac{x}{y}=\frac{4}{1}=4$$. Imo, option B.
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Re: If (x – y)(x + y) = 15 and x + y = 5, then what is the value of x/y ?   [#permalink] 08 Apr 2019, 19:34
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