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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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Updated on: 17 Dec 2017, 01:23
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71% (01:00) correct 29% (01:23) wrong based on 34 sessions

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

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

[Reveal] Spoiler:
Attachment:

12345.jpg [ 9.98 KiB | Viewed 784 times ]
[Reveal] Spoiler: OA

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Last edited by Bunuel on 17 Dec 2017, 01:23, edited 1 time in total.
Edited the question.
Math Expert
Joined: 02 Aug 2009
Posts: 5771
Re: In the figure above, what is the value of x + y? [#permalink]

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16 Dec 2017, 18:23
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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17 Dec 2017, 01:24

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

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

[Reveal] Spoiler:
Attachment:
12345.jpg

Similar question from Official Guide: https://gmatclub.com/forum/in-the-figur ... 44330.html
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Re: In the figure above, what is the value of x + y? [#permalink]

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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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17 Dec 2017, 09:12

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

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

[Reveal] Spoiler:
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.

Re: In the figure above, what is the value of x + y?   [#permalink] 17 Dec 2017, 09:12
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