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# x + y =

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Math Expert
Joined: 02 Sep 2009
Posts: 58445

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18 Jan 2018, 02:59
00:00

Difficulty:

35% (medium)

Question Stats:

59% (01:13) correct 41% (01:20) wrong based on 51 sessions

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x + y =

(A) 72
(B) 90
(C) 108
(D) 120
(E) 180

Attachment:

2018-01-18_1358.png [ 8.61 KiB | Viewed 780 times ]

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Re: x + y =  [#permalink]

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18 Jan 2018, 05:34
Bunuel wrote:

x + y =

(A) 72
(B) 90
(C) 108
(D) 120
(E) 180

Attachment:
2018-01-18_1358.png

Parallel Line property

6x-48 = 4x . (Corresponding angles in parallel line case)

i.e. x = 24

Also, 4x + y = 180 (Linear Pair)

i.e. y = 180-96 = 84

i.e. x+y = 24+84 = 108

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Re: x + y =  [#permalink]

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18 Jan 2018, 07:49
Bunuel wrote:

x + y =

(A) 72
(B) 90
(C) 108
(D) 120
(E) 180

Attachment:
2018-01-18_1358.png

$$6x - 48 = 4x$$

Or, $$2x = 48$$

Or, $$x = 24$$

Since, $$4x + y = 180$$

Thus, $$4*24 + y = 180$$

Or, $$y = 84$$

Thus, x + y = 24 + 84 = 108, answer will be (C)
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Re: x + y =  [#permalink]

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20 Jan 2018, 07:36
Bunuel wrote:

x + y =

(A) 72
(B) 90
(C) 108
(D) 120
(E) 180

Attachment:
2018-01-18_1358.png

We can create the equation:

6x - 48 = 4x

2x = 48

x = 24

Since 4x + y = 180:

4(24) + y = 180

96 + y = 180

y = 84

So x + y = 84 + 24 = 108.

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Re: x + y =   [#permalink] 20 Jan 2018, 07:36
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