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If a, b, c, and d are numbers on the number line shown and if

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If a, b, c, and d are numbers on the number line shown and if [#permalink]

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Question Stats:

59% (01:48) correct 41% (01:46) wrong based on 396 sessions

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If a, b, c, and d are numbers on the number line shown and if the tick marks are equally spaced, what is the value of a +c ?

(1) a + b = -8
(2) a + d = 0


Source: GMAT OG 2016 Quant Review
[Reveal] Spoiler: OA

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Kudos [?]: 30 [3], given: 56

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Kudos [?]: 78 [16], given: 13

Location: United States
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WE: Information Technology (Computer Software)
Re: If a, b, c, and d are numbers on the number line shown and if [#permalink]

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New post 11 Jun 2016, 12:14
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Imagine these points represent elements on an arithmetic progression, and the equal spacing between them is k. Then, b = a+k, c = a+2k and d = a+3k. We need to calculate a+c = a+a+2k = 2a + 2k. So we need to know the values of a and k.
S1 : a+b = a+ a+k => 2a+k = -8. Not sufficient.
S2 : a+d = a + a + 3k => 2a +3k = 0. Not sufficient.

Combining both statements, we have 2 equations and 2 variables. Thus we can solve for the values of a and k. Thus C.

Kudos [?]: 78 [16], given: 13

Intern
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Joined: 10 Aug 2015
Posts: 20

Kudos [?]: 30 [0], given: 56

Re: If a, b, c, and d are numbers on the number line shown and if [#permalink]

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New post 18 Jun 2016, 08:13
Nice explanation my friend.
Thanks!

Kudos [?]: 30 [0], given: 56

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Re: If a, b, c, and d are numbers on the number line shown and if [#permalink]

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New post 26 Jan 2017, 09:14
FacelessMan wrote:
Imagine these points represent elements on an arithmetic progression, and the equal spacing between them is k. Then, b = a+k, c = a+2k and d = a+3k. We need to calculate a+c = a+a+2k = 2a + 2k. So we need to know the values of a and k.
S1 : a+b = a+ a+k => 2a+k = -8. Not sufficient.
S2 : a+d = a + a + 3k => 2a +3k = 0. Not sufficient.

Combining both statements, we have 2 equations and 2 variables. Thus we can solve for the values of a and k. Thus C.



Very nice explanation. Kudos

Kudos [?]: 7 [0], given: 8

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Joined: 07 Jun 2017
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Kudos [?]: 0 [0], given: 14

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Re: If a, b, c, and d are numbers on the number line shown and if [#permalink]

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New post 05 Sep 2017, 09:35
FacelessMan wrote:
Imagine these points represent elements on an arithmetic progression, and the equal spacing between them is k. Then, b = a+k, c = a+2k and d = a+3k. We need to calculate a+c = a+a+2k = 2a + 2k. So we need to know the values of a and k.
S1 : a+b = a+ a+k => 2a+k = -8. Not sufficient.
S2 : a+d = a + a + 3k => 2a +3k = 0. Not sufficient.

Combining both statements, we have 2 equations and 2 variables. Thus we can solve for the values of a and k. Thus C.


Thanks for your clear explanaton!

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Kudos [?]: 0 [0], given: 14

Re: If a, b, c, and d are numbers on the number line shown and if   [#permalink] 05 Sep 2017, 09:35
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