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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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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.

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

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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.

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

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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.