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In the figure above, what is the value of x + y?

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In the figure above, what is the value of x + y?  [#permalink]

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New post Updated on: 17 Dec 2017, 01:23
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In the figure below, what is the value of x + y?

(1) a = 2b
(2) a + b = 45

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12345.jpg [ 9.98 KiB | Viewed 895 times ]

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Originally posted by SajjadAhmad on 16 Dec 2017, 12:37.
Last edited by Bunuel on 17 Dec 2017, 01:23, edited 1 time in total.
Edited the question.
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Re: In the figure above, what is the value of x + y?  [#permalink]

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New post 16 Dec 2017, 18:23
SajjadAhmad wrote:
In the figure below, what is the value of x + y?

(1) a = 2b
(2) a + b = 45



ONE of the angle is 90, so remaining two will add up to 90..
Or a+b+x+y=90

1) a=2b
So 3b+x+y=90..
x+y will depend on value of b
Insufficient

2) a+b=45
So 45+x+y=90
x+y=45
Sufficient

B
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Re: In the figure above, what is the value of x + y?  [#permalink]

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New post 17 Dec 2017, 01:24
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Re: In the figure above, what is the value of x + y?  [#permalink]

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New post 17 Dec 2017, 02:37
I think it is B.

I) x+y+a+b=90 so a=2b x+y+3b=90 insufficient

II) If a+b=45, then x+y= 45 sufficient
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Re: In the figure above, what is the value of x + y?  [#permalink]

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New post 17 Dec 2017, 09:12
SajjadAhmad wrote:
Image
In the figure below, what is the value of x + y?

(1) a = 2b
(2) a + b = 45

Attachment:
12345.jpg


The angles of a triangle sum to 180 degrees.
The figure above is a right triangle and the angles: \(a+b+x+y=180-90=90\)

(1) a = 2b. Replace \(a\) in the equation above, \(a+b+x+y=(2b)+b+x+y=3b+x+y = 90\), but since we don't know what \(b\) is, we cannot determine \(x+y\), insufficient.
(2) a + b = 45. Ok, since \(a+b+x+y=180-90=90\), then replacing \(a+b=45\) we get \((45)+x+y=90, x+y=45\), this is sufficient.

(B) is the answer.
Re: In the figure above, what is the value of x + y? &nbs [#permalink] 17 Dec 2017, 09:12
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