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# In the figure, A, B, C, and D are points on a line in that order. If A

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
In the figure, A, B, C, and D are points on a line in that order. If A  [#permalink]

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09 Oct 2018, 22:30
00:00

Difficulty:

15% (low)

Question Stats:

89% (01:27) correct 11% (01:25) wrong based on 25 sessions

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In the figure, A, B, C, and D are points on a line in that order. If AC = 5, BD = 10, and AD = 13, then what is the length of BC ?

(A) 2
(B) 8
(C) 15
(D) 18
(E) 28

Attachment:

line.jpg [ 7.63 KiB | Viewed 341 times ]

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Re: In the figure, A, B, C, and D are points on a line in that order. If A  [#permalink]

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10 Oct 2018, 00:45
Bunuel wrote:

In the figure, A, B, C, and D are points on a line in that order. If AC = 5, BD = 10, and AD = 13, then what is the length of BC ?

(A) 2
(B) 8
(C) 15
(D) 18
(E) 28

Attachment:
line.jpg

Lets assume
AB = x
BC = y
CD = z

AC = x+y = 5,
BD = y+z = 10, and

i.e. z = 13-5 = 8
i.e. y = 2 = BC
i.e. x = 3

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In the figure, A, B, C, and D are points on a line in that order. If A  [#permalink]

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10 Oct 2018, 02:45
Ok so

AB=3
BC=2
CD=8

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In the figure, A, B, C, and D are points on a line in that order. If A   [#permalink] 10 Oct 2018, 02:45
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